Bifurcation Analysis of Hysteretic Systems with Saddle Dynamics

• Marina Esteban ^[1] ; Enrique Ponce ^[1] ; Francisco Torres ^[1]
  1. [1] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 2, Nº. 2, 2017, págs. 449-464
• Idioma: inglés
• DOI: 10.21042/amns.2017.2.00036
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.