Keywords
- Travel Wave Solution
- Implicit Function Theorem
- Dominate Convergence Theorem
- Nonlinear Parabolic System
- Circular Solution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
D.L. Barrow and P.W. Bates, Bifurcation and Stability of Periodic Travelling Waves for a Reaction-Diffusion System, to appear, J. Differential Equations.
M.G. Crandall and P.H. Rabinowitz, Bifurcation from Simple Eigenvalues, J. Functional Analysis 8 (1971), 321–340.
D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics vol. 840, Springer-Verlag, New York, 1981.
T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966.
D.H. Sattinger, On the Stability of Waves of Nonlinear Parabolic Systems, Advances in Math. 22 (1976), 312–355.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Barrow, D.L., Bates, P.W. (1982). Bifurcation of periodic travelling waves for a reaction-diffusion system. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064988
Download citation
DOI: https://doi.org/10.1007/BFb0064988
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11968-5
Online ISBN: 978-3-540-39561-4
eBook Packages: Springer Book Archive
