We study the problem of chaotic behaviour in time-perturbed impact systems whose unperturbed part has a piecewise continuous impact homoclinic solution that transversally enters the discontinuity manifold. We show that if a certain Melnikov function has a simple zero at some point, then the system has chaotic impact solutions
Chaos in Forced Impact Systems / Battelli, Flaviano; Michal, Feckan. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 6:4(2013), pp. 861-890. [10.3934/dcdss.2013.6.861]
Chaos in Forced Impact Systems
BATTELLI, Flaviano;
2013-01-01
Abstract
We study the problem of chaotic behaviour in time-perturbed impact systems whose unperturbed part has a piecewise continuous impact homoclinic solution that transversally enters the discontinuity manifold. We show that if a certain Melnikov function has a simple zero at some point, then the system has chaotic impact solutionsFile in questo prodotto:
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