Homoclinic and heteroclinic motions in hybrid systems with impacts-Reference-Cited by-同舟云学术

Homoclinic and heteroclinic motions in hybrid systems with impacts

Published:2017-09-22 Issue:5 Volume:67 Page:1179-1188
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Onur Fen Mehmet¹,Tokmak Fen Fatma²

Affiliation:

1. Basic Sciences Unit TED University 06420, Kolej , Ankara Turkey

2. Department of Mathematics Gazi University 06500, Teknikokullar , Ankara Turkey

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0041/pdf

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