Artículo
Non-hyperbolic boundary equilibrium bifurcations in planar Filippov systems: a case study approach
Autor/es | Di Bernardo, Mario
Pagano, Daniel Juan Ponce Núñez, Enrique |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2008 |
Fecha de depósito | 2017-04-27 |
Publicado en |
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Resumen | Boundary equilibrium bifurcations in piecewise smooth
discontinuous systems are characterized by the collision of an equi-
librium point with the discontinuity surface. Generically, these bi-
furcations are of codimension ... Boundary equilibrium bifurcations in piecewise smooth discontinuous systems are characterized by the collision of an equi- librium point with the discontinuity surface. Generically, these bi- furcations are of codimension one, but there are scenarios where the phenomenon can be of higher codimension. Here, the possible col- lision of a non-hyperbolic equilibrium with the boundary in a two- parameter framework and the nonlinear phenomena associated with such collision are considered. By dealing with planar discontinuous (Filippov) systems, some of such phenomena are pointed out through specific representative cases. A methodology for obtaining the corresponding bi-parametric bifurcation sets is developed. |
Cita | Di Bernardo, M., Pagano, D.J. y Ponce Núñez, E. (2008). Non-hyperbolic boundary equilibrium bifurcations in planar Filippov systems: a case study approach. International Journal of Bifurcation and Chaos, 18 (5) |
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