Critical values and minimal periods for autonomous Hamiltonian systems

K. Tintarev

doi:10.3934/dcds.1995.1.389

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1995, Volume 1, Issue 3: 389-400. Doi: 10.3934/dcds.1995.1.389

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Critical values and minimal periods for autonomous Hamiltonian systems

K. Tintarev^1,

1.
Uppsala University, Box 480, Uppsala 751 06

Received: December 31, 1994

Published: June 1995

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Abstract

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.

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Mathematics Subject Classification: 37J45, 70H05.

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