ROTATING SPIRAL WAVES IN A NONLINEAR-OPTICAL SYSTEM WITH SPATIAL INTERACTIONS

Authors
ZHELEZNYKH NI LEBERRE M RESSAYRE E TALLET A
Citation
Ni. Zheleznykh et al., ROTATING SPIRAL WAVES IN A NONLINEAR-OPTICAL SYSTEM WITH SPATIAL INTERACTIONS, Chaos, solitons and fractals, 4(8-9), 1994, pp. 1717-1728
Citations number
8
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
4
Issue
8-9
Year of publication
1994
Pages
1717 - 1728
Database
ISI
SICI code
0960-0779(1994)4:8-9<1717:RSWIAN>2.0.ZU;2-S
Abstract
The formation of multi-petals and multi-spirals is analysed with the h elp of a generalized dispersion relation, taking advantage of the inva riance of the rotation frequency of a pattern. It results in an eigenv alue problem, which allows us to predict the rotation frequency and th e radial curvature of the pattern, in good agreement with exact calcul ations: A stationary pattern is predicted to look like petals, while a uniform rotating pattern is predicted to have some curvature, leading to a spiral shape.