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Article Contents

# Critical values and minimal periods for autonomous Hamiltonian systems

• 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.
Mathematics Subject Classification: 37J45, 70H05.

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