Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D2L-E
Session:
Number:D2L-E1
An Autonomous Chaotic System on Cylinder
Kazuyuki Kimura, Toshimichi Saito, Tadashi Tsubone,
pp.803-806
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
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. The system on the cylinder is equivalent to the systems having infinite equilibria. This system can exhibit super expanding chaos characterized by very large positive Lyapunov exponent. Presenting a simple test circuit, the super expanding chaos is confirmed experimentally.