Article
Hopf bifurcation from infinity for planar control systems
Author/s | Llibre Saló, Jaume
Ponce Núñez, Enrique |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Publication Date | 1997 |
Deposit Date | 2017-04-26 |
Published in |
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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 ... 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. |
Citation | Llibre, J. y Ponce Núñez, E. (1997). Hopf bifurcation from infinity for planar control systems. Publicacions matemàtiques, 41 (1), 181-198. |