We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES:: APPLICATION TO CHUA'S CIRCUIT.
- Authors
FREIRE, E.; PONCE, E.; ROS, J.
- Abstract
In this paper, a possible degeneration of the focus-center-limit cycle bifurcation for piecewise smooth continuous systems is analyzed. The case of continuous piecewise linear systems with two zones is considered, and the coexistence of two limit cycles for certain values of parameters is justified. Finally, the Chua's circuit is shown to exhibit the analyzed bifurcation. The obtained bifurcation set in the parameter plane is similar to the degenerate Hopf bifurcation for differentiable systems.
- Subjects
BIFURCATION theory; STABILITY (Mechanics); PIECEWISE linear topology; LIMIT cycles; DIFFERENTIABLE dynamical systems; H-spaces; TOPOLOGICAL groups
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2007, Vol 17, Issue 2, p445
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127407017367