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Showing 2015 · math.CAShow all
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math.CA2015
Every period annulus is both reversible and symmetric
Marco Sabatini
We prove that for every planar differential system with a period annulus there exists an involution such that the system is -symmetric. We also prove that for for every plan…
math.CA2015
Centers with equal period functions
Marco Sabatini
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…