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.
Centers with equal period functions / Sabatini, Marco. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 430:1(2015), pp. 296-305. [10.1016/j.jmaa.2015.04.065]
Centers with equal period functions
Sabatini, Marco
2015
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.File in questo prodotto:
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CEPF_Sabatini_Arxiv.pdf
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