Bifurcation Analysis of Hysteretic Systems with Saddle Dynamics
- Marina Esteban 1
- Enrique Ponce 1
- Francisco Torres 1
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1
Universidad de Sevilla
info
ISSN: 2444-8656
Any de publicació: 2017
Volum: 2
Número: 2
Pàgines: 449-464
Tipus: Article
Altres publicacions en: Applied Mathematics and Nonlinear Sciences
Resum
This paper is devoted to the analysis of bidimensional piecewise linear systems with hysteresis coming from a reduction of symmetric 3D systems with slow-fast dynamics. We concentrate our attention on the saddle dynamics cases, determining the existence of periodic orbits as well as their stability, and possible bifurcations. Dealing with reachable saddles not in the central hysteresis band, we show the existence of subcritical/supercritical heteroclinic bifurcations as well as saddle-node bifurcations of periodic orbits.