Periodic solutions for Hamiltonian system under strong constraining forces

Jalal Shatah, Chongchun Zeng

Research output: Contribution to journalArticle

Abstract

We consider-periodic solutions of Hamiltonian systems in Euclidean spaces whose motion is constrained to a submanifold M. We prove that under some nondegeneracy assumptions, periodic solutions persist when the constraint is replaced by a strong restoring potential.

Original languageEnglish (US)
Pages (from-to)572-585
Number of pages14
JournalJournal of Differential Equations
Volume186
Issue number2
DOIs
StatePublished - Dec 10 2002

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Hamiltonians
Hamiltonian Systems
Periodic Solution
Nondegeneracy
Submanifolds
Euclidean space
Motion

ASJC Scopus subject areas

  • Analysis

Cite this

Periodic solutions for Hamiltonian system under strong constraining forces. / Shatah, Jalal; Zeng, Chongchun.

In: Journal of Differential Equations, Vol. 186, No. 2, 10.12.2002, p. 572-585.

Research output: Contribution to journalArticle

Shatah, Jalal ; Zeng, Chongchun. / Periodic solutions for Hamiltonian system under strong constraining forces. In: Journal of Differential Equations. 2002 ; Vol. 186, No. 2. pp. 572-585.
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