Solutions of minimal period for even classical Hamiltonian systems (Q1593681)
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scientific article; zbMATH DE number 1556813
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| English | Solutions of minimal period for even classical Hamiltonian systems |
scientific article; zbMATH DE number 1556813 |
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Solutions of minimal period for even classical Hamiltonian systems (English)
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19 July 2001
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The main result of the paper asserts the existence of a periodic orbit with minimal period \(T\) for the system \(u''+ V'(u)= 0\) for every \(T>0\) assuming that the potential \(V\) is even, has a semi-positive Hessian at every point and standard growth at 0 and infinity.
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Hamiltonian systems
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periodic orbit
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semi-positive Hessian
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