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

Revista:
Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656

Ano de publicación: 2017

Volume: 2

Número: 2

Páxinas: 449-464

Tipo: Artigo

DOI: 10.21042/AMNS.2017.2.00036 DIALNET GOOGLE SCHOLAR

Outras publicacións en: Applied Mathematics and Nonlinear Sciences

Resumo

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.

Fonte de datos: Dialnet