Abstract
In this work we study mechanical systems defined by polynomial potentials of degree \(m\) on the plane, when the potential has a definite or semi-definite sign and the energy is non-negative. We give a global description of the flow for the non-negative potential case. Some partial results are obtained for the more complicated case of non-positive potentials.
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C. Vidal is partially supported by Fondecyt project 1130644.
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Falconi, M., Lacomba, E.A. & Vidal, C. Dynamics of Mechanical Systems with Polynomial Potentials. J Dyn Diff Equat 26, 707–722 (2014). https://doi.org/10.1007/s10884-014-9357-2
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DOI: https://doi.org/10.1007/s10884-014-9357-2