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arXiv 2016-01-14 0 views

Homoclinic and Heteroclinic Motions in Hybrid Systems with Impacts

Fen, Mehmet Onur · Fen, Fatma Tokmak

Original · EN

In this paper, we present a method to generate homoclinic and heteroclinic motions in impulsive systems. We rigorously prove the presence of such motions in the case that the systems are under the influence of a discrete map that possesses homoclinic and heteroclinic orbits. Simulations that support the theoretical results are represented by means of a Duffing equation with impacts.

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