RT Journal Article
T1 Periodic orbit bifurcations in planar hysteretic systems without equilibria
A1 Esteban, Marina
A1 Ponce, Enrique
A1 Torres, Francisco
K1 Bifurcation
K1 Hysteresis
K1 Periodic Orbit
K1 Equilibrium
K1 Planar Hysteretic System
AB This paper is devoted to the analysis of bidimensional piecewise linear systems with hysteresis coming from 3D systems with slow–fast dynamics. We focus our attention on the symmetric case without equilibria, determining the existence of periodic orbits as well as their stability, and possible bifurcations. New analytical characterizations of bifurcations in these hysteretic systems are obtained. In particular, bifurcations of periodic orbits from infinity, grazing and saddle-node bifurcations of periodic orbits are studied in detail and the corresponding bifurcation sets are provided. Finally, the study of the hysteretic systems is shown to be useful in detecting periodic orbits for some 3D piecewise linear systems.
PB World Scientific Publishing Company
YR 2020
FD 2020-07-15
LK https://hdl.handle.net/10433/22273
UL https://hdl.handle.net/10433/22273
LA en
NO International Journal of Bifurcation and Chaos. Vol. 30, No. 07, 2030016 (2020)
NO Departamento de Economía, Métodos Cuantitativos e Historia Económica. Universidad Pablo de Olavide.
DS RIO
RD May 8, 2026