Let (M, ( } , } ) R ) be a Riemannian manifold and V: M Γ R a C 2 potential function. The research of periodic solutions of the system where D t (x\* (t)) is the covariant derivative of x\* along the direction of x\* and { R the Riemannian gradient, has been studied when M is a noncontractible mani
Remarks on Periodic Orbits of Dynamical Systems with Repulsive Singularities
β Scribed by S. Terracini
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 669 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0022-1236
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β¦ Synopsis
We study existence and multiplicity of periodic solutions with prescribed period in the case of conservative systems having several singularities of repulsive type. These results are also used to prove existence and multiplicity of periodic bounce trajectories in exterior domains. 1993 Academic Press, Inc.
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