Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:A3L-D
Session:
Number:A3L-D-3
Super-Expanding Chaos from the Cylinder Manifold Piecewise Linear System
Shotaro Suzuki, Toshimichi Saito,
pp.173-176
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
This paper studies the chaotic dynamics of the manifold piecewise liner system on the cylinder-type phase space. This system is defined by second order continuous flow with hysteresis switching. Since the phase space is cylinder-type, the trajectories do not diverge and the system can generate super-expanding chaos characterized by a very large positive Lyapunov exponent. Using the piecewise linear 1D return map, generation of the super-expanding chaos can be analyzed theoretically.