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arXiv · 1501.07122

Centers with equal period functions

Marco Sabatini
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Abstract

We give a sufficient condition for systems with symmetries to have periodic solutions with equal periods. We show that the main result can be applied both to Hamiltonian and to non-Hamiltonian systems. We apply the main results to produce planar centers with equal period functions.

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Marco Sabatini. 2015-01-28. Centers with equal period functions. https://arxiv.org/abs/1501.07122

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