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- Title
Periodic perturbations of constrained motion problems on a class of implicitly defined manifolds.
- Authors
Calamai, Alessandro; Spadini, Marco
- 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.
- Subjects
PERTURBATION theory; PROBLEM solving; MANIFOLDS (Mathematics); VECTOR fields; DIFFERENTIAL-algebraic equations
- Publication
Communications in Contemporary Mathematics, 2015, Vol 17, Issue 2, p-1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199714500278