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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

MULTI-BUMP HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SUPERQUADRATIC POTENTIAL

Author(s):
Alves, C. O. [1] ; Carriao, P. C. [2] ; Miyagaki, O. H. [3]
Total Authors: 3
Affiliation:
[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estat, BR-58109970 Campina Grande, PB - Brazil
[2] Univ Fed Minas Gerais, Dept Matemat, BR-31270010 Belo Horizonte, MG - Brazil
[3] Univ Fed Vicosa, Dept Matemat, BR-36571000 Vicosa, MG - Brazil
Total Affiliations: 3
Document type: Journal article
Source: HOUSTON JOURNAL OF MATHEMATICS; v. 36, n. 3, p. 859-877, 2010.
Web of Science Citations: 1
Abstract

This paper is concerned with the existence of homoclinic orbits of multi-bump type in the second order Hamiltonian system with superquadratic potential q - L(t)q + W(q)(q) = 0, t is an element of R, where q = (q(1,) ..., q(N)) is an element of R(N), W is an element of C(1) (R(N), R) and L(t) is an element of C (R, R(N2)) is a symmetric matrix for all t. (AU)