Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:C2L-C
Session:
Number:C2L-C1
Border Collision Bifurcations in a Simple Switching Circuit
Daniele Fournier-Prunaret, Laura Gardini, Pascal Charge,
pp.545-548
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
A two-dimensional piecewise smooth continuous model describing a circuit proposed as chaos generator is analyzed. The parameter space is investigated in order to classify regions of existence of stable cycles, and regions associated with chaotic behaviors. Border collision bifurcation curves and degenerate flip bifurcation curves are analytically detected. Moreover, the homoclinic bifurcations occurring in cyclical chaotic regions leading to chaos in one-piece are also detected.