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Bifurcation of periodic orbits on manifolds and Hamiltonian systems

โœ Scribed by Matthew Bottkol


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
612 KB
Volume
37
Category
Article
ISSN
0022-0396

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