Periodic travelling waves

• Autorzy: V. Hutson , K. Mischaikow
• Języki publikacji: EN

Abstrakty

EN

Some new techniques for finding periodic travelling waves are discussed.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 47
• Numer: 1
• Strony: 109-114

Daty

wydano

1999

Twórcy

autor

V. Hutson

• Department of Applied Mathematics, The University of Sheffield, Sheffield S3 7RH, United Kingdom

autor

K. Mischaikow

• Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.

Bibliografia

• [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.
• [2] R. Gardner, Existence and stability of travelling wave solutions of competition models: a degree theoretic approach, JDE 44 (1982).
• [3] R. Gardner, Existence of travelling wave solution of predator prey systems via the Conley index, SIAM J. Appl. Math. 44 (1984), 56-76.
• [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.
• [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.
• [8] K. Mischaikow and J. Reineck, Travelling waves in predator prey systems, SIAM J. Math. Anal. 24 (1993).