Periodic travelling waves
Hutson, V. ; Mischaikow, K.
Banach Center Publications, Tome 50 (1999), p. 109-114 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Some new techniques for finding periodic travelling waves are discussed.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:208927 
@article{bwmeta1.element.bwnjournal-article-bcpv47i1p109bwm,
     author = {Hutson, V. and Mischaikow, K.},
     title = {Periodic travelling waves},
     journal = {Banach Center Publications},
     volume = {50},
     year = {1999},
     pages = {109-114},
     zbl = {0959.35092},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p109bwm}
}

Hutson, V.; Mischaikow, K. Periodic travelling waves. Banach Center Publications, Tome 50 (1999) pp. 109-114. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p109bwm/

[000] [1] C. Conley and R. Gardner, An application of the generalized Morse index to travelling waves solutions of a competative reaction diffusion model, Ind. Univ. J. 33 (1979), 319-343. | Zbl 0565.58016

[001] [2] R. Gardner, Existence and stability of travelling wave solutions of competition models: a degree theoretic approach, JDE 44 (1982). | Zbl 0446.35012

[002] [3] R. Gardner, Existence of travelling wave solution of predator prey systems via the Conley index, SIAM J. Appl. Math. 44 (1984), 56-76. | Zbl 0541.35044

[003] [4] T. Gedeon, H. Kokubu, K. Mischaikow, H. Oka, and J. Reineck, The Conley index for fast-slow systems I: One-dimensional slow variables, J. Diff. Eq. Dyn., to appear. | Zbl 0945.34029

[004] [5] W. Huang, Uniqueness of bistable traveling wave for mutualist species, preprint 1998.

[005] [6] A. W. Leung, Systems of Nonlinear Partial Differential Equations, Kluwer, Dordrecht, 1989.

[006] [7] K. Mischaikow and V. Hutson, Travelling waves for mutualist species, SIAM J. Math. Anal. 24 (1993), 987-1008. | Zbl 0815.35044

[007] [8] K. Mischaikow and J. Reineck, Travelling waves in predator prey systems, SIAM J. Math. Anal. 24 (1993). | Zbl 0815.35045