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 oscillations, including those characterized by a different spectrum of Lyapunov exponents. In particular, it is shown appearance of hyperchaos and chaos with additional close to zero Lyapunov exponent. Phenomenological scenarios for the development of multi-dimensional chaos related to destruction of two-frequency tori are described. Hyperchaos is formed via hierarchy of discrete Shilnikov attractors arise as a result of sequence of Neimark-Sacker bifurcations. Chaos with additional close to zero Lyapunov exponent occurs as impact of saddle tori appeared via sequence of torus-doubling bifurcations.

中文翻译：

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非自主无线电物理发生器中短脉冲引发的多维混沌

考虑周期性和混沌自振荡状态下的 Anishchenko-Astakhov 发生器的非自治模型。短脉冲的周期序列被视为外力。结果表明，同步图在结构上与二维系统中观察到的经典同步图很接近，但脉冲作用导致了混沌振荡的激发，包括那些以不同的李雅普诺夫指数谱为特征的振荡。特别是，它显示了超混沌和混沌的出现，并且李亚普诺夫指数接近于零。描述了与二频环面破坏相关的多维混沌发展的现象学场景。超混沌是通过离散 Shilnikov 吸引子的层次结构形成的，这些吸引子是 Neimark-Sacker 分叉序列的结果。当鞍托里的影响通过环面加倍分叉序列出现时，会出现李亚普诺夫指数接近于零的混沌。