On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems (Q1346253)
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scientific article; zbMATH DE number 736828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems |
scientific article; zbMATH DE number 736828 |
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On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems (English)
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27 March 1995
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The authors consider second order Hamiltonian systems on complete Riemannian manifolds of the form \(D_ t \dot x(t) + \text{grad}_ x V(t,x(t)) = 0\), where the potential \(V\) is \(T\)-periodic in \(t\). They prove the existence of infinitely many homoclinic orbits.
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second order Hamiltonian systems on complete Riemannian manifolds
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infinitely many homoclinic orbits
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0.95434403
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0.9541558
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0.94259614
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0.9413779
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0.93687534
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0.9358722
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0.93535227
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