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ISSN 1088-6850(e) ISSN 0002-9947(p)

A global condition for periodic Duffing-like equations

Author(s): Piero Montecchiari; Margherita Nolasco; Susanna Terracini
Journal: Trans. Amer. Math. Soc. 351 (1999), 3713-3724.
MSC (1991): Primary 58E05, 70H35, 34C37, 58F15
Posted: March 1, 1999
MathSciNet review: 1487629
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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.

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