We study the problem of chaotic behaviour in time-perturbed discontinuous systems whose unperturbed part has a piecewise image homoclinic solution transversally crossing the discontinuity manifolds. We show that if a certain Melnikov function has a simple zero at some point, then the system has chaotic behavior.

Nonsmooth homoclinic orbits, Melnikov functions and chaos in discontinuous systems / Battelli, Flaviano; Feckan, M.. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - STAMPA. - 241:22(2012), pp. 1962-1975. [10.1016/j.physd.2011.05.018]

Nonsmooth homoclinic orbits, Melnikov functions and chaos in discontinuous systems

BATTELLI, Flaviano;
2012-01-01

Abstract

We study the problem of chaotic behaviour in time-perturbed discontinuous systems whose unperturbed part has a piecewise image homoclinic solution transversally crossing the discontinuity manifolds. We show that if a certain Melnikov function has a simple zero at some point, then the system has chaotic behavior.
2012
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/31509
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 59
  • ???jsp.display-item.citation.isi??? 49
social impact