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A bifurcation analysis of planar nilpotent reversible systems

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Abstract

In this paper, we present a bifurcation analysis for planar nilpotent reversible systems with an equilibrium point located at the origin. We study candidates for the universal unfoldings of the codimension-one non-degenerate cases, as well as a pair of codimension-two degenerate cases, and a codimension-three degenerate case, where a rich bifurcation scenario is pointed out.

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Authors and Affiliations

  1. Department of Mathematics, Facultad de Ciencias, University of Huelva, Huelva, Spain

    A. Algaba & C. García

  2. Department of Applied Mathematics II, E. T. S. I., University of Sevilla, Sevilla, Spain

    E. Freire & E. Gamero

Authors
  1. A. Algaba
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  2. E. Freire
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  3. E. Gamero
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  4. C. García
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Corresponding author

Correspondence to E. Gamero.

Additional information

This work has been supported by the Ministerio de Economía y Competitividad (project MTM2014-56272-C2-X-P), and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, TIC-130, FQM-276).

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Algaba, A., Freire, E., Gamero, E. et al. A bifurcation analysis of planar nilpotent reversible systems. Nonlinear Dyn 87, 835–849 (2017). https://doi.org/10.1007/s11071-016-3082-9

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  • DOI: https://doi.org/10.1007/s11071-016-3082-9

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