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.
Branches of forced oscillations in degenerate systems of second order ODEs / M. LEWICKA; M. SPADINI. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 68:(2008), pp. 2623-2628. [10.1016/j.na.2007.02.008]
Branches of forced oscillations in degenerate systems of second order ODEs
SPADINI, MARCO
2008
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.File in questo prodotto:
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