HETEROCLINIC SOLUTIONS FOR A SYSTEM OF STRONGLY COUPLED ODES

Authors
KAZMIERCZAK B PERADZYNSKI Z
Citation
B. Kazmierczak et Z. Peradzynski, HETEROCLINIC SOLUTIONS FOR A SYSTEM OF STRONGLY COUPLED ODES, Mathematical methods in the applied sciences, 19(6), 1996, pp. 451-461
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
19
Issue
6
Year of publication
1996
Pages
451 - 461
Database
ISI
SICI code
0170-4214(1996)19:6<451:HSFASO>2.0.ZU;2-S
Abstract
We use the implicit function theorem to prove an existence of a hetero clinic orbit to a system of two non-linear second-order ODEs. The pert urbation is carried out around infinite value of a 'coupling parameter '. The form of the system which is considered in this paper is related to the system defining travelling wave solutions in a two temperature model of the laser sustained plasma.