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A new class of general fractional differential quasivariational and quasivariational–hemivariational inequalities with variable constraint sets Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-06 Xu Chu, Tao Chen, Nan-jing Huang, Xue-song Li
This paper investigates a new general nonlinear system, which comprises a fractional differential equation and a history-dependent quasivariational inequality with a variable constraint set, as well as a quasivariational–hemivariational inequality with a variable constraint set. Such a general nonlinear system can be used to describe a nonlinear quasistatic thermoelastic frictional contact problem
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Existence and exponential stability of a periodic solution of an infinite delay differential system with applications to Cohen–Grossberg neural networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-04 A. Elmwafy, José J. Oliveira, César M. Silva
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Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-03 Victor Byrkin, Ivan Tronin, Dmitry Lykianov
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Efficient second-order accurate scheme for fluid–surfactant systems on curved surfaces with unconditional energy stability Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-03 Bing Jiang, Qing Xia, Junseok Kim, Yibao Li
Accurately simulating the interplay between fluids and surfactants is a challenge, especially when ensuring both mass conservation and guaranteed energy stability. This study proposes a highly accurate numerical scheme for the water–oil–surfactant system coupled with the Navier–Stokes equation. We use the second-order accurate discrete operators on triangular grids representing these surfaces. We use
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A new strategy based on the logarithmic Chebyshev cardinal functions for Hadamard time fractional coupled nonlinear Schrödinger–Hirota equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-03 M.H. Heydari, D. Baleanu
In this research, the Hadamard fractional derivative is used to define the time fractional coupled nonlinear Schrödinger–Hirota equations. The logarithmic Chebyshev cardinal functions, as a new category of cardinal functions, are introduced to build a numerical method to solve this system. To do this, the Hadamard fractional differentiation matrix of these functions is obtained. In the developed method
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Steady state bifurcation and pattern formation of a diffusive population model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-29 Mengxin Chen, Xuezhi Li, Ranchao Wu
The steady state bifurcation and spatiotemporal patterns are induced by prey-taxis in a population model, in which prey, predators and scavengers are involved. Effects of prey-taxis are manifested from the obtained results. By using the prey-taxis coefficient as the bifurcation parameter, the occurrence conditions of the steady state bifurcation is established. It is found that there is no steady state
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Almost sure synchronization of stochastic multi-links semi-Markov jump systems via aperiodically intermittent control Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-29 Chang Gao, Hao Gu, Yu Xiao, Beibei Guo
This paper concentrates on the almost sure synchronization for a class of stochastic multi-links coupled semi-Markov jump systems through aperiodically intermittent control. For these stochastic switching systems, almost sure synchronization is investigated by employing mode-dependent multiple Lyapunov-like function method and stochastic analysis. Notably, mode-dependent multiple Lyapunov-like function
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Bifurcations of a cancer immunotherapy model explaining the transient delayed response and various other responses Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-29 Wenjing Zhang, Collin Y. Zheng, Peter S. Kim
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Strong convergence theorem of a new modified Bregman extragradient method to solve fixed point problems and variational inequality problems in general reflexive Banach spaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-27 Huilin Tan, Qian Yan, Gang Cai, Qiao-Li Dong
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Slow passage through a transcritical bifurcation in piecewise linear differential systems: Canard explosion and enhanced delay Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-27 A. Pérez-Cervera, A.E. Teruel
In this paper we analyse the phenomenon of the slow passage through a transcritical bifurcation with special emphasis in the maximal delay as a function of the bifurcation parameter and the singular parameter . We quantify the maximal delay by constructing a piecewise linear (PWL) transcritical minimal model and studying the dynamics near the slow-manifolds. Our findings encompass all potential maximum
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Strong convergence analysis of spectral fractional diffusion equation driven by Gaussian noise with Hurst parameter less than [formula omitted] Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 Xing Liu, Yumeng Yang
We propose and analyze an efficient time discretization for the spectral fractional stochastic partial differential equation with Hurst parameter less than . By using variable substitution, the original equation is transformed into a system of equations, which includes a partial differential equation and a stochastic integral equation. Then the time discretization is composed of two parts. We discretize
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Generalized coefficients of clustering in (un)directed and (un)weighted networks: An application to systemic risk quantification for cryptocoin markets Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 A.N.M. Salman, Arief Hakim, Khreshna Syuhada
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A two-network adversarial game: Model, strategy, and structure Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 Ding Lyu, Hanxiao Liu, Lin Wang, Xiaofan Wang
Adversarial games between two groups offering a spectrum of mixed cooperative-adversarial scenarios have been extensively focused on and studied, like video games and swarm confrontation, while comparably limited attention has been paid to the role and impact of structures of groups. Complex networks are widely employed to characterize the various relationships and structures among diverse individuals
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Fully discrete stabilized mixed finite element method for chemotaxis equations on surfaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 Mengqing Jin, Xinlong Feng, Kun Wang
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An improved coupled tri-stable energy harvesting system with spring stops for passive control Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-25 Tingting Zhang, Yanfei Jin
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Complex dynamic analysis of a reaction–diffusion predator–prey model in the network and non-network environment Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-25 Li Miao, Linhe Zhu
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Lattice Boltzmann model for incompressible flows through porous media with time-fractional effects Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-25 Junjie Ren, Hao Lei
Anomalous transport has been commonly observed in the fluid flow through a complex porous medium, where the evolution exhibits a complex memory-like behavior. Classical integer-order models fail to depict anomalous transport phenomena, while fractional calculus has been proved effective in describing such behavior due to its ability to characterize long memory processes. In this paper, the time-fractional
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Multi-dimensional chaos initiated by short pulses in non-autonomous radio-physical generator Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-24 A. Kilina, P. Panteleeva, N. Stankevich
A non-autonomous model of the Anishchenko–Astakhov generator in the regime of periodic and chaotic self-oscillations is considered. A periodic sequence of short pulses is considered as an external force. It is shown that the synchronization picture is close in structure to the classical synchronization picture observed in a two-dimensional system, but the pulse action leads to the excitation of chaotic
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Non-smooth dynamics of impacting viscoelastic pipes conveying pulsatile fluid Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-23 Bo Zhu, Yang Guo, Yan Qing Wang
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Mitigation of numerical issues appearing in transient analyses when applying fractional derivative approximations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-22 Marcin Sowa
Due to the potential decrease of the computation time for problems with fractional order derivatives, and due to the extension of the range of applicable solvers for a given problem, the approximation of fractional derivatives (e.g., using Oustaloup’s method) is an important and frequently discussed topic. A significant problem that can occur (although one that is not discussed very often) when approximations
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Nonlinear dynamics of contact interaction porous size-dependent Euler-Bernoulli beams resonators with clearance: Numerical analysis of the stability problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-21 V.A. Krysko, I.V. Papkova, A.V. Krysko
In this study, a new mathematical model is developed to study the contact interactions of nano- and micro-electro-mechanical (NEMS/MEMS) beam resonators. The structural elements are considered as porous, size-dependent Euler-Bernoulli beams subjected to a variable transverse load. The beams resonators are located one above the other with minimal clearance. The analysis includes interactions between
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Approximate weak optimality conditions in multiobjective generalized Nash equilibrium problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-21 Youness El-Yahyaoui, El Mostafa Kalmoun, Lahoussine Lafhim
A multiobjective generalized Nash equilibrium problem (MGNEP) is a Nash equilibrium problem with constraints that include multiobjective games. We focus in this paper on examining the approximate Karush–Kuhn–Tucker (KKT) conditions for MGNEPs and their impact on the global convergence of algorithms. To begin, we define standard approximate weak KKT (standard-AWKKT) conditions for MGNEPs. We demonstrate
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A priori error estimates of VSBDF2 schemes for solving parabolic distributed optimal control problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-21 Caijie Yang, Hongfei Fu, Tongjun Sun
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A linearized L2-1[formula omitted] Galerkin FEM for Kirchhoff type quasilinear subdiffusion equation with memory Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-20 Lalit Kumar, Sivaji Ganesh Sista, Konijeti Sreenadh
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The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-19 Indranil Ghosh, Robert I. McLachlan, David J.W. Simpson
We study two-dimensional, two-piece, piecewise-linear maps having two saddle fixed points. Such maps reduce to a four-parameter family and are well known to have a chaotic attractor throughout open regions of parameter space. The purpose of this paper is to determine where and how this attractor undergoes bifurcations. We explore the bifurcation structure numerically by using Eckstein’s greatest common
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Formulating and heuristic solving of contact problems in hybrid data-driven computational mechanics Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-18 Cristian G. Gebhardt, Senta Lange, Marc C. Steinbach
In this work we consider the hybrid Data-Driven Computational Mechanics (DDCM) approach, in which a smooth constitutive manifold is reconstructed to obtain a well-behaved nonlinear optimization problem (NLP) rather than the much harder discrete-continuous NLP (DCNLP) of the direct DDCM approach. The key focus is on the addition of geometric inequality constraints to the hybrid DDCM formulation. Therein
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Existence results for variational–hemivariational inequality systems with nonlinear couplings Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-18 Yunru Bai, Nicuşor Costea, Shengda Zeng
In this paper we investigate a system of coupled inequalities consisting of a variational–hemivariational inequality and a quasi-hemivariational inequality on Banach spaces. The approach is topological, and a wide variety of existence results is established for both bounded and unbounded constraint sets in real reflexive Banach spaces. Applications to Contact Mechanics are provided in the last section
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Delocalized nonlinear vibrational modes and discrete breathers in a body centered cubic lattice Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-17 S.A. Shcherbinin, Yu.V. Bebikhov, D.U. Abdullina, A.A. Kudreyko, S.V. Dmitriev
Body centered cubic (bcc) lattice with nearest and next-nearest interactions described by the -FPUT interatomic potential is considered. Exact dynamical solutions in the form of zone-boundary delocalized nonlinear vibrational modes (DNVMs) are analyzed. 31 such solutions are revealed from the analysis of only the symmetry of the bcc lattice. Frequency response of DNVMs for the case of soft- and hard-type
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Self-consistent numerical model of mosquito dynamics with specified kinematic parameters of wing movement Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-17 K.K. Zabello, N.A. Shchur, E.A. Gladysheva, E.Yu. Smirnova, A.V. Popov, V.B. Kazantsev
Mosquito flight dynamics was considered using an advanced mathematical model with experimentally determined and biologically relevant parameters. The model was developed using a self-consistent algorithm. It described mosquito’s body and wing oscillations using mechanics equations and aerodynamic flows, simultaneously. Six equations were used for the mechanics of the mosquito (relative to the center
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Asymptotically unpredictable trajectories in semiflows Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-17 Mehmet Onur Fen, Fatma Tokmak Fen
A special kind of Poisson stable trajectory, which is called unpredictable and leads to sensitivity in the quasi-minimal set, was proposed by Akhmet and Fen (2016) for semiflows. In the present paper we carry this finding one step further by defining a new kind of trajectory, called asymptotically unpredictable. We prove that such motions also lead to sensitivity in the dynamics. This feature is now
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Combination resonance of a moving ferromagnetic thin plate under double alternating line loads in a transverse constant magnetic field Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-16 Mengxue Xie, Yuda Hu
The combination resonance of a moving rectangular ferromagnetic thin plate under double alternating line loads in a transverse constant magnetic field is investigated. Initially, the kinetic and potential energies of the system, considering geometrical nonlinearity, are obtained based on Kirchhoff's theory of thin plates. Additionally, the works of external forces are determined using the principle
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A second order dynamical system method for solving a maximally comonotone inclusion problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-15 Zengzhen Tan, Rong Hu, Yaping Fang
In this paper a second order dynamical system model is proposed for computing a zero of a maximally comonotone operator in a Hilbert space. Under mild conditions, we prove existence and uniqueness of a strong global solution of the proposed dynamical system. A proper tuning of the parameters can allow us to establish fast convergence properties of the trajectories generated by the dynamical system
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Optimal long time error estimates of a second-order decoupled finite element method for the Stokes–Darcy problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-15 Liming Guo
In this paper, we propose a second-order decoupled finite element method based on lagging a part of the interfacial coupling terms for the time dependent Stokes–Darcy problem, which only need to solve two sub-physical problems sequentially. Under a modest time step restriction (physical parameters), the optimal long time error estimates are obtained both in the norm and in the norm. Numerical results
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Numerical analysis of age-structured HIV model with general transmission mechanism Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-15 Zhuzan Wang, Zhanwen Yang, Guoqiu Yang, Chiping Zhang
In this paper, we discuss the numerical representation of the linearly implicit Euler method for an age-structured HIV infection model with a general transmission mechanism. We first define the basic reproduction number of the continuous model, and present the stability results of the equilibriums. For the numerical process, we establish the solvability of the system and the non-negativity and convergence
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Finite-time stability of Caputo fractional fuzzy differential equations with delay in granular sense Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-15 Feixiang Yan, Danfeng Luo
This manuscript focuses on investigating a class of Caputo fractional fuzzy differential system with time delay. Firstly, we understand the granular form of fuzzy numbers from a novel perspective, which contains more information than the usual membership function. Subsequently, using a successive approximation approach under the granular arithmetic context, we demonstrate the existence of the solution
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Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier–Stokes equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-12 Huaijun Yang, Dongyang Shi
In this paper, based on the scalar auxiliary variable (SAV) approach, the superconvergence error analysis is investigated for the time-dependent Navier–Stokes equations. In which, an equivalent system of the Navier–Stokes equations with three variables and a fully-discrete scheme is developed with semi-implicit Euler discretization for the temporal direction and low-order bilinear-constant finite element
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Unconditional stability and error estimates of the modified characteristics FEMs for the Micropolar Navier–Stokes Equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-12 Zhiyong Si, Yao Ji, Yunxia Wang
In this paper, the unconditional stability and optimal error estimate of the velocity, pressure and angular velocity for the modified characteristics FEMs of the unsteady Micropolar Naiver–Stokes Equations (MNSE) are presented. In this method, the nonlinear equation is linearized by the characteristic finite element method for dealing with the time derivative term and the convection term. Basing on
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One- and two-level Arrow–Hurwicz-type iterative algorithms for the stationary Smagorinsky model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-12 Dan Lai, Pengzhan Huang, Yinnian He
In this article, based on finite element discretization, we propose one- and two-level Arrow–Hurwicz-type iterative algorithms for solving the steady-state Smagorinsky equations. The two-level Arrow–Hurwicz-type iterative algorithm involves solving a linearization Smagorinsky problem by the Arrow–Hurwicz-type iteration on a coarse mesh with mesh size and one Oseen-type linear problem on a fine mesh
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Energy dissipation laws of time filtered BDF methods up to fourth-order for the molecular beam epitaxial equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-10 Jiexin Wang, Yuanyuan Kang, Hong-lin Liao
This report presents the time filtered BDF- (FiBDF-) methods up to fourth-order time accuracy for the molecular beam epitaxial equation with no-slope selection. The new -order methods are developed by introducing an inexpensive post-filtering step to the variable-step BDF- methods. We show that the FiBDF- methods are uniquely solvable and volume conservative. Some novel discrete gradient structures
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Analysis of bifurcation and chaotic behavior of the micro piezoelectric pipe-line robot drive system with stick - slip mechanism Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-10 Jichun Xing, Chao Ning, Yuan Zhi, Ian Howard
Pipeline robots using the conventional driving mode have encountered a bottleneck in miniaturization. To address this problem, a micro piezoelectric pipeline robot based on the inertia stick-slip driving principle is proposed in this paper. The robot is well suited to the inspection needs of micro pipes. However, undesirable design parameters found during the structural optimization phase can lead
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Planar quartic–quadratic fold–fold singularity of Filippov systems and its bifurcation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-08 Tiago Carvalho
In this paper it is exhibited the bifurcation scenario concerning a typical singularity of planar piecewise smooth vector fields in two zones. This singularity is characterized by a quadratic contact of one vector field and a quartic contact of another vector field at the same point of the switching manifold. By means of a three parameter perturbation, we observe the presence of bifurcations like:
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A Crank–Nicolson leap-frog scheme for the unsteady incompressible magnetohydrodynamics equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-06 Zhiyong Si, Mingyi Wang, Yunxia Wang
This paper presents a Crank–Nicolson leap-frog (CNLF) scheme for the unsteady incompressible magnetohydrodynamics (MHD) equations. The spatial discretization adopts the Galerkin finite element method (FEM), and the temporal discretization employs the CNLF method for linear terms and the semi-implicit method for nonlinear terms. The first step uses Stokes style’s scheme, the second step employs the
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Finite element method for a generalized constant delay diffusion equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-06 Weiping Bu, Sizhu Guan, Xiaohong Xu, Yifa Tang
This paper considers the finite element method to solve a generalized constant delay diffusion equation. The regularity of the solution of the considered model is investigated, which is the first time to discover that the solution has non-uniform multi-singularity in time compared with Tan et al. (2022). To overcome the multi-singularity, a symmetrical graded mesh is used to devise the fully discrete
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On the convergence of linear and nonlinear Parareal methods for the Cahn–Hilliard equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-04 Gobinda Garai, Bankim C. Mandal
This paper introduces, analyses, and implements efficient time parallel methods for solving the Cahn–Hilliard (CH) equation. Efficient numerical methods for the CH equation are crucial due to its wide range of applications. In particular, simulating the CH equation often requires long computational times to obtain the solution during the phase coarsening stage. Therefore, there is a need to accelerate
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Rao-Blackwellized particle smoothing for mixed linear/nonlinear state-space model with asynchronously dependent noise processes Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-04 Yunqi Chen, Zhibin Yan, Xing Zhang
For the mixed linear/nonlinear state-space model (ML/NLSSM) with asynchronously dependent noise processes (ADNP), this paper aims at designing Rao-Blackwellized particle smoothing (RBPS) algorithms via the sequential Monte Carlo sampling method to solve its fixed-interval smoothing problem. Asynchronous dependency leads to the current measurement depending not only on the current state, but also on
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Dynamics and scaling of internally cooled convection Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-04 Lokahith Agasthya, Caroline Jane Muller
Our goal is to investigate fundamental properties of the system of internally cooled convection. The system consists of an upward thermal flux at the lower boundary, a mean temperature lapse-rate and a constant cooling term in the bulk with the bulk cooling in thermal equilibrium with the input heat flux. This simple model represents idealised dry convection in the atmospheric boundary layer, where
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Fuzzy fractional delay differential inclusions driven by hemivariational inequalities in Banach spaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-04 Danfeng Wu, Minghao Chen
This paper investigates a novel class of nonlinear dynamical fuzzy systems referred to as fuzzy fractional delay differential hemivariational inequalities (FFDDHVIs) in Banach spaces. These systems integrate fractional fuzzy differential inclusions with delay and hemivariational inequalities. The existence theorem for the HVIs is established based on the KKM theorem. Moreover, specific propositions
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Corrigendum to “article: A stochastic theta-SEIHRD model: adding randomness to covid-19 spread,” [Communications in Nonlinear Science and Numerical Simulation, 115 (2022), 106731] Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-04 Álvaro Leitao-Rodríguez, Carlos Vázquez
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A [formula omitted]-power neurodynamic approach to distributed nonconvex optimization Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-30 Yangxia Li, Zicong Xia, Yang Liu, Jinde Cao, Mahmoud Abdel-Aty
In this paper, a neurodynamic optimization approach based on a -power transformation Lagrangian function is developed for distributed nonconvex optimization. A new Lagrangian function is proposed to eliminate dual gaps of nonconvex problems, and a distributed average tracking approach is developed for estimating global objective function value. Based on the Lagrangian function and the distributed average
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Optimal harvest for predator–prey fishery models with variable price and marine protected area Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-28 Cheng Chu, Wenjun Liu, Guangying Lv, Ali Moussaoui, Pierre Auger
In this paper, we propose a predator–prey fishery model with prey harvesting, variable price and marine protected area. We assume the price changes faster than other processes such as population growth and predation, and get a slow fast Ordinary Differential Equation (ODE) system. A simplified three-dimensional model is obtained by using approximate aggregation methods. The results show that there
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Analysis and simulation of an integro-differential Lotka–Volterra model with variable reproduction rates and optimal control Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-27 Anderson L.A. de Araujo, Artur C. Fassoni, Kamila F.L. Madalena, Luís F. Salvino
In this work, we present an integro-differential system that generalizes the classical Lotka–Volterra model of competition. The model considers population heterogeneity with respect to reproduction rates, local diffusion in the aspect space and control interventions. We perform a rigorous mathematical analysis proving results on existence and uniqueness of solutions and on existence of optimal controls
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Global sensitivity analysis of plasma instabilities via active subspaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-24 Soraya Terrab, Stephen Pankavich
Active subspace analysis is a useful computational tool to identify and exploit the most important linear combinations in the space of a model’s input parameters. These directions depend inherently on a quantity of interest, which can be represented as a function from input parameters to model outputs. As the dynamics of many plasma models are driven by potentially uncertain parameter values, the utilization
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Existence conditions for bifurcations of homoclinic orbits in a railway wheelset model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-24 Xingang Wang, Hongjun Cao
This paper investigates the bifurcations of homoclinic orbits to hyperbolic saddle points in a simplified railway wheelset model with cubic and quintuple nonlinear terms. Using Melnikov’s method, the sufficient conditions for the existence of the supercritical and the subcritical pitchfork bifurcations of homoclinic orbits are proven. To determine the integrability of the variational equations around
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Sequential time scaling transformation technique for time-delay optimal control problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-23 Yin Chen, Xi Zhu, Changjun Yu, Kok Lay Teo
The time-scaling transformation technique used within the computational framework of control parameterization serves as an effective method for the optimization of control switching time as well as the control value for time-delay optimal control problems. However, the conventional time-scaling transformation stipulates that the switching times for all control components must be identical, which may
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On an asymmetric functional-coefficient ARCH-M model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-22 Xiaotong Zhong, Qiang Xiong
This paper proposes an asymmetric functional-coefficient autoregressive conditional heteroscedasticity in mean (ARCH-M) model, which allows for asymmetry in the volatility. The profile likelihood approach is applied to estimate the parametric and nonparametric components. Under some regularity assumptions, we derive asymptotic behavior of the proposed estimator. To avoid model misspecification, the
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Mathematical modeling and dynamic analysis for cancer resistance incorporating persister cells Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-21 Ke Qi, Shun Wang, Yuyang Xiao, Xiufen Zou
Drug resistance is a key impediment to cancer treatment, however, the resistance mechanism remains controversial. Experiment evidence indicated that persister cells, a subpopulation in a transient pseudo-dormant state, are posited to play a potential role in the emergence of resistance. In this study, we propose a novel mathematical model for describing the interactions among sensitive, persister,
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Fractional diamagnetic Kepler problem and elastic collisions Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-21 Eduardo Scafi, Marcus Werner Beims
In this work, we consider an application of fractional derivatives to realistic physical situations, namely the elastic collision of particles and the nonintegrable diamagnetic Kepler problem. The origin of fractional dynamics can be nonlocal interacting dynamics, memory effects, environments with fractal interacting properties, and relaxation processes, among others. In the case of collisions, considering
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Error estimates of a space–time Legendre spectral method for solving the Korteweg–de Vries equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-21 Lin Sang, Hua Wu
In this paper, a space–time spectral method for solving the Korteweg–de Vries equation is considered. The discrete schemes of the method are based on the Legendre–Petrov–Galerkin method in spatial direction and the Legendre-tau method in temporal direction with nonperiodic boundary conditions. Stability analysis results and error estimates are obtained in -norm by introducing a cut-off function without
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No two without three: Modeling dynamics of the trio RNA virus-defective interfering genomes-satellite RNAs Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-20 J. Tomás Lázaro, Ariadna Albó, Tomás Alarcón, Santiago F. Elena, Josep Sardanyés
Almost all viruses, regardless of their genomic material, produce defective viral genomes (DVG) as an unavoidable byproduct of their error-prone replication. Defective interfering (DI) elements are a subgroup of DVGs that have been shown to interfere with the replication of the wild-type (WT) virus. Along with DIs, other genetic elements known as satellite RNAs (satRNAs), that show no genetic relatedness
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Correlation and collective behaviour in Adler-type locally coupled oscillators at the edge of chaos Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-19 E. Estevez-Rams, K. Garcia-Medina, B. Aragón-Fernández
Dynamical systems can be analysed as computational devices capable of performing information processing. In coupled oscillators, enlarged capabilities are expected when the set of units is formed by subsets with collective behaviour within them but weak correlation between the subsets. A system of non-linear oscillators weakly coupled in the phase approximation is studied. The informational distance