Hopf bifurcation from infinity for planar control systems

Autores: Jaume Llibre , Enrique Ponce Núñez
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 1, 1997 (Ejemplar dedicado a: Proceedings of the Symposium on Planar Vector Fields), págs. 181-198
Idioma: inglés
DOI: 10.5565/publmat_41197_11
Títulos paralelos:
- Bifurcación de Hoptf desde el infinito para sistemas planos de control
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Resumen
- 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.