Critical values and minimal periods for autonomous Hamiltonian systems

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July 1995, 1(3): 389-400. doi: 10.3934/dcds.1995.1.389

Critical values and minimal periods for autonomous Hamiltonian systems

1.	Uppsala University, Box 480, Uppsala 751 06, Sweden

Received January 1995 Published May 1995

Abstract
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The paper studies periodic solutions of Hamiltonian systems. It states that a range of periods for such solutions can be obtained by diiferentiation of the function of constrained critical values with respect to the variable constraint level. It also shows that when a Hamiltonian is equal to a positive quadratic form plus an oscillatory term, there exist infinitely many solutions with the same period.

Keywords: periodic solutions, Hamiltonian systems, critical values..

Mathematics Subject Classification: 37J45, 70H0.

Citation: K. Tintarev. Critical values and minimal periods for autonomous Hamiltonian systems. Discrete & Continuous Dynamical Systems - A, 1995, 1 (3) : 389-400. doi: 10.3934/dcds.1995.1.389

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