Hoptf bifurcation from infinity for planar control systems.

Llibre, Jaume, and Ponce, Enrique. "Hoptf bifurcation from infinity for planar control systems.." Publicacions Matemàtiques 41.1 (1997): 181-198. <http://eudml.org/doc/41281>.

@article{Llibre1997,
abstract = {Symmetric piecewise linear bi-dimensional systems are very common in control engineering. They constitute a class of non-differentiable vector fields for which classical Hopf bifurcation theorems are not applicable. For such systems, sufficient and necessary conditions for bifurcation of a limit cycle from the periodic orbit at infinity are given.},
author = {Llibre, Jaume, Ponce, Enrique},
journal = {Publicacions Matemàtiques},
keywords = {Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Bifurcación de Hopf; Ciclos límite; Hopf bifurcation; inversion; piecewise linear system; Poincaré map},
language = {eng},
number = {1},
pages = {181-198},
title = {Hoptf bifurcation from infinity for planar control systems.},
url = {http://eudml.org/doc/41281},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Llibre, Jaume
AU - Ponce, Enrique
TI - Hoptf bifurcation from infinity for planar control systems.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 181
EP - 198
AB - Symmetric piecewise linear bi-dimensional systems are very common in control engineering. They constitute a class of non-differentiable vector fields for which classical Hopf bifurcation theorems are not applicable. For such systems, sufficient and necessary conditions for bifurcation of a limit cycle from the periodic orbit at infinity are given.
LA - eng
KW - Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Bifurcación de Hopf; Ciclos límite; Hopf bifurcation; inversion; piecewise linear system; Poincaré map
UR - http://eudml.org/doc/41281
ER -