Homoclinic and heteroclinic motions in hybrid systems with impacts

In: Mathematica Slovaca, vol. 67, no. 5

Mehmet Onur Fen - Fatma Tokmak Fen

Detaily:

Rok, strany: 2017, 1179 - 1188

Kľúčové slová:

impulsive systems, stable and unstable sets, homoclinic motion, heteroclinic motion, Duffing equation with impacts

DOI: https://doi.org/10.1515/ms-2017-0041

O článku:

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.

Ako citovať:

ISO 690:

Fen, M., Fen, F. 2017. Homoclinic and heteroclinic motions in hybrid systems with impacts. In Mathematica Slovaca, vol. 67, no.5, pp. 1179-1188. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0041

APA:

Fen, M., Fen, F. (2017). Homoclinic and heteroclinic motions in hybrid systems with impacts. Mathematica Slovaca, 67(5), 1179-1188. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0041

O vydaní:

Publikované: 26. 10. 2017