Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:B2L-C
Session:
Number:B2L-C1
Bifurcation Phenomena of Coupled Piecewise Affine System with Hysteresis Properties
Kazutoshi Kinoshita, Tetsushi Ueta, Hiroshi Kawakami, Jun-ichi Imura, Kazuyuki Aihara,
pp.407-410
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
We study bifurcation phenomena of the discrete time piecewise Affine systems with hysteresis. Although these systems are categorized as a hybrid systems, not much bifurcation analyses have been done. We firstly investigate the Lozi map with hysteresis and compute its bifurcation sets. And, we research the bifurcations of diffusively-coupled models. As a result, a lot of border-collision bifurcations and corresponding multi-stable periodic areas are found. And the size of chaotic area that generated by hysteresis characteristics can be controlled by coupling.