Periodic travelling waves
Banach Center Publications (1999)
- Volume: 47, Issue: 1, page 109-114
- ISSN: 0137-6934
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topHutson, V., and Mischaikow, K.. "Periodic travelling waves." Banach Center Publications 47.1 (1999): 109-114. <http://eudml.org/doc/208927>.
@article{Hutson1999,
abstract = {Some new techniques for finding periodic travelling waves are discussed.},
author = {Hutson, V., Mischaikow, K.},
journal = {Banach Center Publications},
keywords = {estimates of the wave speed; singular perturbation theory based on the Conley index},
language = {eng},
number = {1},
pages = {109-114},
title = {Periodic travelling waves},
url = {http://eudml.org/doc/208927},
volume = {47},
year = {1999},
}
TY - JOUR
AU - Hutson, V.
AU - Mischaikow, K.
TI - Periodic travelling waves
JO - Banach Center Publications
PY - 1999
VL - 47
IS - 1
SP - 109
EP - 114
AB - Some new techniques for finding periodic travelling waves are discussed.
LA - eng
KW - estimates of the wave speed; singular perturbation theory based on the Conley index
UR - http://eudml.org/doc/208927
ER -
References
top- [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. Zbl0565.58016
- [2] R. Gardner, Existence and stability of travelling wave solutions of competition models: a degree theoretic approach, JDE 44 (1982). Zbl0446.35012
- [3] R. Gardner, Existence of travelling wave solution of predator prey systems via the Conley index, SIAM J. Appl. Math. 44 (1984), 56-76. Zbl0541.35044
- [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. Zbl0945.34029
- [5] W. Huang, Uniqueness of bistable traveling wave for mutualist species, preprint 1998.
- [6] A. W. Leung, Systems of Nonlinear Partial Differential Equations, Kluwer, Dordrecht, 1989.
- [7] K. Mischaikow and V. Hutson, Travelling waves for mutualist species, SIAM J. Math. Anal. 24 (1993), 987-1008. Zbl0815.35044
- [8] K. Mischaikow and J. Reineck, Travelling waves in predator prey systems, SIAM J. Math. Anal. 24 (1993). Zbl0815.35045
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