A four-dimensional plus hysteresis chaos generator
A four-dimensional plus hysteresis chaos generator
复制标题
四维加磁滞混沌发生器
DOI：
10.1109/81.340840
复制
发表时间：
1994
影响因子：
5.1
通讯作者：
Toshimichi Saito
中科院分区：
文献类型：
--
作者：
K. Mitsubori;Toshimichi Saito
本文讨论了一种四维加迟滞自治混沌电路。电路动力学由两个对称的四维线性方程描述，通过迟滞开关相互连接。将方程转化为约当式，推导出其三维回归图、雅可比矩阵和雅可比矩阵的理论公式。这些公式可以很容易地推广到一般维度的情况，并用于计算李雅普诺夫指数。我们还发现了一个环面加倍的途径，从混沌到超混沌。一些返回图吸引子通过实验室实验得到了证实。给出了一个粗糙的两参数分岔图。>
This paper discusses a four-dimensional plus hysteresis autonomous chaotic circuit. The circuit dynamics are described by two symmetric four-dimensional linear equations connected to each other by hysteresis switchings. We transform the equation into Jordan form and derive theoretical formulas of its three-dimensional return map, its Jacobian matrix and its Jacobian. These formulas can be developed easily to general dimensional cases and are used to evaluate Lyapunov exponents. Also we have discovered a torus doubling route to chaos and then to hyperchaos. Some of the return map attractors are confirmed by laboratory experiments. A rough two parameters bifurcation diagram is also given. >