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A global condition for periodic Duffing-like equations
Authors:Piero Montecchiari  Margherita Nolasco  Susanna Terracini
Institution:Dipartimento di Matematica, Universitá degli studi di Trieste, Piazzale Europa 1, 34013 Trieste, Italy ; S.I.S.S.A., via Beirut 4, 34013 Trieste, Italy ; Dipartimento di Matematica del Politecnico, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
Abstract:We study Duffing-like equations of the type $\ddot q= q - \alpha (t)W'(q) $,with $\alpha \in C({\mathbb{R}},{\mathbb{R}})$ periodic. We prove that if the stable and unstable manifolds to the origin do not coincide, then the system exhibits positive topological entropy.

Keywords:Duffing equations  homoclinic orbits  multibump solutions  minimax argument  
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