The existence of homoclinic orbits for a class of first-order superquadratic hamiltonian systems

Chengjun Guo; Chengjiang Wang; Donal O'Regan; Ravi P. Agarwal

The existence of homoclinic orbits for a class of first-order superquadratic hamiltonian systems

Chengjun Guo
, Chengjiang Wang
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

22 Citations (Scopus)

Abstract

Using critical point theory, we study the existence of homoclinic orbits for the first-order superquadratic Hamiltonian system ż= JH_z (t; z), where H(t; z) depends periodically on t and is superquadratic.

Original language	English
Pages (from-to)	83-102
Number of pages	20
Journal	Memoirs on Differential Equations and Mathematical Physics
Volume	61
Publication status	Published - 2014

Keywords

Critical point theory
Hamiltonian system
Homoclinic orbit

Cite this

@article{0c2261ae69f6473fb2a5eca0e0b6a57c,

title = "The existence of homoclinic orbits for a class of first-order superquadratic hamiltonian systems",

abstract = "Using critical point theory, we study the existence of homoclinic orbits for the first-order superquadratic Hamiltonian system {\.z}= JHz (t; z), where H(t; z) depends periodically on t and is superquadratic.",

keywords = "Critical point theory, Hamiltonian system, Homoclinic orbit",

author = "Chengjun Guo and Chengjiang Wang and Donal O'Regan and Agarwal, \{Ravi P.\}",

year = "2014",

language = "English",

volume = "61",

pages = "83--102",

journal = "Memoirs on Differential Equations and Mathematical Physics",

issn = "1512-0015",

publisher = "Andrea Razmadze Mathematical Institute",

}

TY - JOUR

T1 - The existence of homoclinic orbits for a class of first-order superquadratic hamiltonian systems

AU - Guo, Chengjun

AU - Wang, Chengjiang

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2014

Y1 - 2014

N2 - Using critical point theory, we study the existence of homoclinic orbits for the first-order superquadratic Hamiltonian system ż= JHz (t; z), where H(t; z) depends periodically on t and is superquadratic.

AB - Using critical point theory, we study the existence of homoclinic orbits for the first-order superquadratic Hamiltonian system ż= JHz (t; z), where H(t; z) depends periodically on t and is superquadratic.

KW - Critical point theory

KW - Hamiltonian system

KW - Homoclinic orbit

UR - https://www.scopus.com/pages/publications/84898758239

M3 - Article

AN - SCOPUS:84898758239

SN - 1512-0015

VL - 61

SP - 83

EP - 102

JO - Memoirs on Differential Equations and Mathematical Physics

JF - Memoirs on Differential Equations and Mathematical Physics

ER -

The existence of homoclinic orbits for a class of first-order superquadratic hamiltonian systems

Abstract

Keywords

Other files and links

Fingerprint

Cite this