The existence of homoclinic orbits for hamiltonian systems with the potentials changing sign

Guihua Fei

The existence of homoclinic orbits for hamiltonian systems with the potentials changing sign

Guihua Fei

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems q̈ - L(t)q + V'(t, q) = 0 by using the critical point theory, where the potential V(t, q) = b(t)W(q) can change sign. Under a new kind of "superquadratic" condition on W, some new results are obtained.

Original language	English (US)
Pages (from-to)	403-410
Number of pages	8
Journal	Chinese Annals of Mathematics. Series B
Volume	17
Issue number	4
State	Published - Dec 1 1996

Keywords

Critical point theory
Hamiltonian system
Homoclinic orbit

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abstract = "This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems {\"q} - L(t)q + V'(t, q) = 0 by using the critical point theory, where the potential V(t, q) = b(t)W(q) can change sign. Under a new kind of {"}superquadratic{"} condition on W, some new results are obtained.",

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N2 - This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems q̈ - L(t)q + V'(t, q) = 0 by using the critical point theory, where the potential V(t, q) = b(t)W(q) can change sign. Under a new kind of "superquadratic" condition on W, some new results are obtained.

AB - This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems q̈ - L(t)q + V'(t, q) = 0 by using the critical point theory, where the potential V(t, q) = b(t)W(q) can change sign. Under a new kind of "superquadratic" condition on W, some new results are obtained.

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KW - Hamiltonian system

KW - Homoclinic orbit

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IS - 4

ER -

The existence of homoclinic orbits for hamiltonian systems with the potentials changing sign

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