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arXiv · 1907.05778

Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains

Florian Kogelbauer
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Abstract

We prove Lr-estimates on periodic solutions of periodically-forced, linearly-damped mechanical systems with polynomially-bounded potentials. The estimates are applied to obtain a non-existence result of periodic solutions in bounded domains, depending on an upper bound on the gradient of the potential. The results are illustrated on examples.

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Florian Kogelbauer. 2019-07-12. Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains. https://doi.org/10.1007/s00332-020-09607-y

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