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Multiple Brake Orbits and Homoclinics in Riemannian Manifolds

✍ Scribed by Roberto Giambò; Fabio Giannoni; Paolo Piccione

Publisher
Springer
Year
2010
Tongue
English
Weight
536 KB
Volume
200
Category
Article
ISSN
0003-9527

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Let (M, ( } , } ) R ) be a Riemannian manifold and V: M Ä 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