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Abstract: We investigate the role of topological methods in the analysis of canard-typeperiodic and chaotic trajectories. In the first part of the paper, we applytopological degree to the analysis of multi-dimensional canards. The secondpart is devoted to an application of a special corollary of thePoincare-Bendixson theorem to the existence of periodic two-dimensionalcanards.



Author: Alexei V. Pokrovskii, Alexey A. Pokrovskiy, Andrey Zhezherun

Source: https://arxiv.org/







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