Periodic solutions of fixed energy for some second order Hamiltonian systems (Q1206077)
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scientific article; zbMATH DE number 148459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of fixed energy for some second order Hamiltonian systems |
scientific article; zbMATH DE number 148459 |
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Periodic solutions of fixed energy for some second order Hamiltonian systems (English)
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1 April 1993
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The authors prove some sufficient conditions for the existence of periodic solutions of the autonomous Hamiltonian system \(\ddot u+\text{grad}_ u V(u)=0\), \(| \dot u(t)|^ 2/2+V(u(t))=h\); \(V\in C^ 2(\Omega,R^ 1)\), \(\Omega\subset R^ n\), \(h=\text{const}\).
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critical point
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periodic solutions
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autonomous Hamiltonian system
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