National Changhua University of Education Institutional Repository : Item 987654321/16690

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/16690

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/16690

Title:	Existence and Multiplicity Results for Heteroclinic Orbits of Second Order Hamiltonian Systems
Authors:	Chen, Chao-Nien;Tzeng, Shyuh-Yaur
Contributors:	數學系
Keywords:	Hamiltonian system;Heteroclinic;Calculus of variations
Date:	1999-11
Issue Date:	2013-06-05T07:32:09Z
Publisher:	Elsevier
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.
Relation:	Journal of Differential Equations, 158(2): 211-250
Appears in Collections:	[math] Periodical Articles

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