Codimension-2 Bifurcation Dynamics and Infinity Analysis of a Class of Lorenz Chaos Systems With Memristors
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摘要: 基于经典的Lorenz系统,通过反馈控制的方式得到了一类具有忆阻器的三维混沌系统,对该系统分别从局部高余维分岔及无穷远全局动力学行为这两个方面进行了研究.首先,基于平均理论,对原点平衡点处的zero-Hopf分岔行为进行了分析;其次,基于中心流形理论,对原点平衡点处的double-zero分岔进行了分析;最后,根据Poincaré紧致化方法,对该系统在无穷远处的动力学行为进行了研究.
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关键词:
- Lorenz系统 /
- zero-Hopf分岔 /
- double-zero分岔 /
- 无穷远动力学
Abstract: Based on the classical Lorenz system, a class of 3D memristive chaotic systems were obtained through feedback control, and the local high codimensional bifurcation and the infinite global dynamic behavior of the system were studied. Firstly, according to the average theory, the zeroHopf bifurcation behavior at the origin equilibrium point was analyzed. Secondly, with the center manifold theory, the doublezero bifurcation at the origin of the system was investigated. Finally, according to the Poincaré compactification method, the dynamics at infinity of the system was discussed.-
Key words:
- Lorenz system /
- zero-Hopf bifurcation /
- double-zero bifurcation /
- dynamics at infinity
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