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Analysis of a two-dimensional nonsmooth Poincaré-like map

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Abstract

A two-dimensional nonsmooth Poincaré-like map is investigated in the present work. The map generalizes in some sense the so-called Nordmark map, which is related to one-dimensional impacting oscillators near grazing points, and constitutes an intuitive basis for dynamics related to degenerate grazing in such oscillators.

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Acknowledgements

This research was supported by FP7-PEOPLE-2012-IRSES-316338. The author is grateful to the anonymous referees for their valuable comments.

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  1. Department of Mathematics, Politehnica University of Timisoara, Timisoara, Romania

    G. Tigan

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  1. G. Tigan
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Correspondence to G. Tigan.

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Tigan, G. Analysis of a two-dimensional nonsmooth Poincaré-like map. Nonlinear Dyn 75, 643–651 (2014). https://doi.org/10.1007/s11071-013-1092-4

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  • DOI: https://doi.org/10.1007/s11071-013-1092-4

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