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On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax 4 + cx 2 y 2

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Abstract

This paper is devoted to analyze certain dynamical aspects of the planar mechanical system associated to the potential V = ax 4 + cx 2 y 2 as a function of the real parameters a and c.

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Author information

Authors and Affiliations

  1. Depto. de Matemáticas, Fac. de Ciencias, UNAM. C. Universitaria, México, DF, 04510, México

    Manuel Falconi

  2. Mathematics Department, UAM-I, P.O. Box 55-534, México, DF, 09340, México

    Ernesto Lacomba

  3. Departamento de Matemática, Facultad de Ciencias, Universidad del Bío Bío, Casilla 5-C, VIII-Región, Concepción, Chile

    Claudio Vidal

Authors
  1. Manuel Falconi
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  2. Ernesto Lacomba
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  3. Claudio Vidal
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Corresponding author

Correspondence to Claudio Vidal.

Additional information

Partially supported by Fondecyt 1080112.

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Falconi, M., Lacomba, E. & Vidal, C. On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax 4 + cx 2 y 2 . J Dyn Diff Equat 21, 527–554 (2009). https://doi.org/10.1007/s10884-009-9144-7

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  • DOI: https://doi.org/10.1007/s10884-009-9144-7

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