Bifurcation Analysis of Hysteretic Systems with Saddle Dynamics

  1. Marina Esteban 1
  2. Enrique Ponce 1
  3. Francisco Torres 1
  1. 1 Universidad de Sevilla
    info

    Universidad de Sevilla

    Sevilla, España

    ROR https://ror.org/03yxnpp24

Journal:
Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656

Year of publication: 2017

Volume: 2

Issue: 2

Pages: 449-464

Type: Article

DOI: 10.21042/AMNS.2017.2.00036 DIALNET GOOGLE SCHOLAR

More publications in: Applied Mathematics and Nonlinear Sciences

Abstract

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.

Data source: Dialnet