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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

K. Tintarev 1,

1. 

Uppsala University, Box 480, Uppsala 751 06, Sweden

Received  January 1995 Published  May 1995

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