Periodic solutions of Hamiltonian systems on Annuli

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概要

• 論文の詳細を見る

• For Hamiltonian systems, whose Hamiltonian H is of the from "kinetic energy" + "potential", it is known that [1] [2], if energy surface H^<-1> (e) is compact, then there exists at least one periodic solution of the Hamiltonian system on the energy surface. In this note, we give an example with two periodic solutions of such a Hamiltonian system close to a symmetric one, where the set of configuration points for which the value of the potential ⪇ e is an annulus.

• 明治大学の論文

著者

• 林 喜代司

  Faculty of Commerce Meiji University

関連論文

• Periodic solutions of Hamiltonian systems on Annuli

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