Use this identifier to quote or link this document: http://hdl.handle.net/2072/4693

Non-hyperbolic boundary equilibrium bifurcations in planar Filippov systems: a case study approach
Di Bernardo, Mario; Pagano, Daniel J.; Ponce, Enrique
Centre de Recerca Matemàtica
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.
2007-06
517 - Anàlisi
Bifurcació, Teoria de la
Sistemes dinàmics diferenciables
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/)
Preprint
Centre de Recerca Matemàtica
Prepublicacions del Centre de Recerca Matemàtica;748
         

Full text files in this document

Files Size Format
Pr748.pdf 368.4 KB PDF

Show full item record

Related documents

Other documents of the same author

Stramosk, Vinicius; Benadero García-Morato, Luis; Pagano, Daniel J.; Ponce, Enrique
Benadero García-Morato, Luis; Cristiano, Rony; Pagano, Daniel J.; Ponce, Enrique
Cristiano, Rony; Pagano, Daniel J.; Benadero García-Morato, Luis; Ponce, Enrique
Dòria Cerezo, Arnau; Olm Miras, Josep Maria; di Bernardo, Mario; Quaglia, Massimiliano; Nuño, Emmanuel
 

Coordination

 

Supporters