Manifold Piecewise Linear Chaotic System on Cylinder and Super Expanding Chaos
Manifold Piecewise Linear Chaotic System on Cylinder and Super Expanding Chaos
复制标题
圆柱流形分段线性混沌系统与超膨胀混沌
DOI：
10.1007/978-3-319-08672-9_7
复制
发表时间：
2014
影响因子：
4.4
通讯作者：
Toshimichi Saito
中科院分区：
文献类型：
--
作者：
Shotaro Suzuki;Kazuyuki Kimura;T. Tsubone;Toshimichi Saito
本文提出了一种新颖的自主混沌系统：圆柱体上的流形分段线性系统。该系统由具有滞后切换的气缸上的二阶连续流定义，并且轨迹不发散。该系统可以表现出以非常大的正李亚普诺夫指数为特征的超膨胀混沌。将动力学集成到分段线性一维返回图中，从理论上保证了混沌的产生。
This paper presents a novel autonomous chaotic system: the manifold piecewise linear system on the cylinder. This system is defined by second order continuous flow on the cylinder with hysteresis switching and the trajectories do not diverge. This system can exhibit super expanding chaos characterized by very large positive Lyapunov exponent. The dynamics is integrated into a piecewise linear one-dimensional return map and chaos generation is guaranteed theoretically.