Topological methods in analysis of periodic and chaotic canard-type trajectories

Details Topological methods in analysis of periodic and chaotic canard-type trajectories Topological methods in analysis of periodic and chaotic canard-type trajectories

2008-05-03

arxiv.org/abs/0805.0368v1

Mathematics

Dynamical Systems

41 pages

Scientific paper

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.

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