Abstract
In the vicinity of an inverted Hopf bifurcation, we describe stable pulse-like solutions for the envelope of isolated or interacting counterpropagating waves. These localized structures correspond to droplets in first order phase transition. We show that their stabilization is a non variationnal effect, associated with the generation of constant phase gradients for the waves.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
E. Moses, J. Finebcrg and V. Steinberg, Phys. Rev. A 35, 2757 - 2760 (1987).
R. Ilein richs, G. Alders and D. S. Cannel, Phys. Rev. A 35, 2761 - 2764 (1987).
P. Kolodner, D. I3ensimon and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).
M. C. Cross, Phys. Rev. Letters 57, 2935 - 2938 (1986).
Y. Pomeau, Physica 23D, 3 - 11 (1986).
R. J. Deissler, II. R. Brand, Phys.Lett. A 130, 293 - 298 (1988).
O. Thual, S. Fauve, Journal de Physique, to appear (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Plenum Press, New York
About this chapter
Cite this chapter
Thual, O., Fauve, S. (1990). Localized Structures Generated by Subcritical Instabilities: Counterprogating Waves. In: Coullet, P., Huerre, P. (eds) New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena. NATO ASI Series, vol 237. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-7479-4_15
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7479-4_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-7481-7
Online ISBN: 978-1-4684-7479-4
eBook Packages: Springer Book Archive