Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems

Chao Nien Chen, Shyuh -yaur Tzeng

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Connecting orbits of nonlinear differential equations have long been studied in the dynamical systems literature, generally in a setting involving perturbations and using a Melnikov function. In this article, we consider a class of second order Hamiltonian systems which possess infinitely many or finite number of equilibria. Using variational arguments and penalization methods, we obtain the existence of multiple heteroclinic orbits joining pairs of equilibria.

Original languageEnglish
Article numberjdeq.1999.3633
Pages (from-to)211-250
Number of pages40
JournalJournal of Differential Equations
Volume158
Issue number2
DOIs
Publication statusPublished - 1999 Jan 1

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Second Order Hamiltonian System
Hamiltonians
Heteroclinic Orbit
Multiplicity Results
Existence Results
Orbits
Connecting Orbits
Penalization Method
Melnikov Function
Joining
Nonlinear Differential Equations
Dynamical systems
Differential equations
Dynamical system
Perturbation
Class

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems. / Chen, Chao Nien; Tzeng, Shyuh -yaur.

In: Journal of Differential Equations, Vol. 158, No. 2, jdeq.1999.3633, 01.01.1999, p. 211-250.

Research output: Contribution to journalArticle

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