dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Di Bernardo, Mario |
dc.contributor.author |
Pagano, Daniel J. |
dc.contributor.author |
Ponce, Enrique |
dc.date.accessioned |
2007-11-13T13:53:47Z |
dc.date.available |
2007-11-13T13:53:47Z |
dc.date.created |
2007-06 |
dc.date.issued |
2007-06 |
dc.identifier.uri |
http://hdl.handle.net/2072/4693 |
dc.format.extent |
29 |
dc.format.extent |
368450 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;748 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Bifurcació, Teoria de la |
dc.subject.other |
Sistemes dinàmics diferenciables |
dc.title |
Non-hyperbolic boundary equilibrium bifurcations in planar Filippov systems: a case study approach |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.abstract |
Boundary equilibrium bifurcations in piecewise smooth discontinuous systems are characterized by the collision of an equilibrium point with the discontinuity surface. Generically, these bifurcations are of codimension one, but there are scenarios where the phenomenon can be of higher codimension. Here, the possible collision 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. |