Topological methods in analysis of periodic and chaotic canard-type trajectories
Dynamical Systems
2008-05-06 v1
Abstract
We investigate the role of topological methods in the analysis of canard-type periodic and chaotic trajectories. In the first part of the paper, we apply topological degree to the analysis of multi-dimensional canards. The second part is devoted to an application of a special corollary of the Poincare-Bendixson theorem to the existence of periodic two-dimensional canards.
Keywords
Cite
@article{arxiv.0805.0368,
title = {Topological methods in analysis of periodic and chaotic canard-type trajectories},
author = {Alexei V. Pokrovskii and Alexey A. Pokrovskiy and Andrey Zhezherun},
journal= {arXiv preprint arXiv:0805.0368},
year = {2008}
}
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41 pages