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arXiv · 1304.6114

Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds

Alessandro Calamai·Marco Spadini
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Abstract

We study forced oscillations on differentiable manifolds which are globally defined as the zero set of appropriate smooth maps in some Euclidean spaces. Given a T-periodic perturbative forcing field, we consider the two different scenarios of a nontrivial unperturbed force field and of perturbation of the zero field. We provide simple, degree-theoretic conditions for the existence of branches of T-periodic solutions. We apply our construction to a class of second order Differential-Algebraic Equations.

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Alessandro Calamai, Marco Spadini. 2014-05-17. Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds. https://doi.org/10.1142/s0219199714500278

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