Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D2L-E
Session:
Number:D2L-E4
Bifurcation of hyperchaos in a manifold piecewise linear system
Kentaro Yanagisawa, Tadashi Tsubone,
pp.815-818
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
We consider bifurcation of hyperchaos in a four-dimensional manifold piecewise linear system with hysteresis characteristics. The system dynamics is reduced to a two dimensional piecewise linear return map. By using the return map, we have discussed the generation of hyperchaos in previous works. In this paper, we focus on bifurcation phenomena which are seen as changes of invariant sets of hyperchaos attractor of 2-D return map. We derive the bifurcation sets and confirm some bifurcation of hyperchaos in laboratory measurements.