Branches of forced oscillations in degenerate systems of second-order ODEs |
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| Authors: | Marta Lewicka Marco Spadini |
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| Institution: | 1. University of Minnesota, 206 Church Street SE, Minneapolis, MN 55455, USA;2. Dipartimento di Matematica Applicata, Università di Firenze, Via S. Marta 3, I-50139 Firenze, Italy |
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| Abstract: | We use fixed point index methods to study the set of forced oscillations in periodically perturbed systems of ODEs on manifolds. We prove the existence of branches of periodic solutions for a particular class of system where, contrary to the usual ‘nondegeneracy’ assumption, the leading vector field is neither trivial nor has a set of compact zeros. |
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| Keywords: | 34C25 34C40 |
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