Homoclinic and heteroclinic motions in hybrid systems with impacts
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Mehmet Onur Fen
und
Fatma Tokmak Fen
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.
This work is supported by the 2219 scholarship programme of TÜBİTAK, the Scientific and Technological Research Council of Turkey.
Acknowledgement
The authors wish to express their sincere gratitude to the referees for the helpful criticism and valuable suggestions, which helped to improve the paper significantly.
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© 2017 Mathematical Institute Slovak Academy of Sciences
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Artikel in diesem Heft
- Cyclic and rotational latin hybrid triple systems
- Notes on mildly distributive semilattices
- On generalized completely distributive posets
- Properties of non-associative MV-algebras
- On the upper and lower exponential density functions
- Quadratic permutations, complete mappings and mutually orthogonal latin squares
- On F-groups with the central factor of order p4
- Comparison of some families of real functions in porosity terms
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- Homoclinic and heteroclinic motions in hybrid systems with impacts
- Some fixed point theorems in Branciari metric spaces
- S-essential spectra and measure of noncompactness
- Unified approach to graphs and metric spaces
- On structural properties of porouscontinuous functions
- A class of topological spaces between the classes of regular and urysohn spaces
- On The betti numbers of oriented Grassmannians and independent semi-invariants of binary forms
- Generalized Baskakov type operators
