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.File in questo prodotto:
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