Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems (Q1891307)
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scientific article; zbMATH DE number 759462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems |
scientific article; zbMATH DE number 759462 |
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Global existence of homoclinic and periodic orbits for a class of autonomous Hamiltonian systems (English)
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30 May 1995
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The authors consider the autonomous system \(Tq''+ \nabla V(q)= 0\), \(q\in \mathbb{R}^2\), where \(T\) is symmetric, invertible, real matrix. Some geometric conditions are given that provide the existence of periodic trajectories of special structure and of homoclinic trajectories.
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autonomous system
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periodic trajectories
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homoclinic trajectories
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0.93226326
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0.92559147
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0.92397773
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0.92285424
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