Existence and multiplicity results for homoclinic orbits of Hamiltonian systems

Chao Nien Chen, Shyuh Yaur Tzeng

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Homoclinic orbits play an important role in the study of qualitative behavior of dynamical systems. Such kinds of orbits have been studied since the time of Poincaré. In this paper, we discuss how to use variational methods to study the existence of homoclinic orbits of Hamiltonian systems.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalElectronic Journal of Differential Equations
Volume1997
Publication statusPublished - 1997 Mar 26

Fingerprint

Multiplicity Results
Homoclinic Orbit
Hamiltonian Systems
Existence Results
Qualitative Behavior
Variational Methods
Dynamical system
Orbit

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

@article{058604815cac4717b0daa9cceaf3192b,
title = "Existence and multiplicity results for homoclinic orbits of Hamiltonian systems",
abstract = "Homoclinic orbits play an important role in the study of qualitative behavior of dynamical systems. Such kinds of orbits have been studied since the time of Poincar{\'e}. In this paper, we discuss how to use variational methods to study the existence of homoclinic orbits of Hamiltonian systems.",
author = "Chen, {Chao Nien} and Tzeng, {Shyuh Yaur}",
year = "1997",
month = "3",
day = "26",
language = "English",
volume = "1997",
pages = "1--19",
journal = "Electronic Journal of Differential Equations",
issn = "1072-6691",
publisher = "Texas State University - San Marcos",

}

Existence and multiplicity results for homoclinic orbits of Hamiltonian systems. / Chen, Chao Nien; Tzeng, Shyuh Yaur.

In: Electronic Journal of Differential Equations, Vol. 1997, 26.03.1997, p. 1-19.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Existence and multiplicity results for homoclinic orbits of Hamiltonian systems

AU - Chen, Chao Nien

AU - Tzeng, Shyuh Yaur

PY - 1997/3/26

Y1 - 1997/3/26

N2 - Homoclinic orbits play an important role in the study of qualitative behavior of dynamical systems. Such kinds of orbits have been studied since the time of Poincaré. In this paper, we discuss how to use variational methods to study the existence of homoclinic orbits of Hamiltonian systems.

AB - Homoclinic orbits play an important role in the study of qualitative behavior of dynamical systems. Such kinds of orbits have been studied since the time of Poincaré. In this paper, we discuss how to use variational methods to study the existence of homoclinic orbits of Hamiltonian systems.

UR - http://www.scopus.com/inward/record.url?scp=0007083424&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0007083424&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0007083424

VL - 1997

SP - 1

EP - 19

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

ER -