CELLULAR SELF-PROPULSION OF 2-DIMENSIONAL DISSIPATIVE STRUCTURES AND SPATIAL-PERIOD TRIPLING HOPF-BIFURCATION

Authors
DAUMONT I KASSNER K MISBAH C VALANCE A
Citation
I. Daumont et al., CELLULAR SELF-PROPULSION OF 2-DIMENSIONAL DISSIPATIVE STRUCTURES AND SPATIAL-PERIOD TRIPLING HOPF-BIFURCATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 6902-6906
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
6
Year of publication
1997
Part
A
Pages
6902 - 6906
Database
ISI
SICI code
1063-651X(1997)55:6<6902:CSO2DS>2.0.ZU;2-Q
Abstract
Instabilities arising in two-dimensional patterns are analyzed; in par ticular, we report on two generic instabilities of an ordered dissipat ive stationary structure. The first of these corresponds to several-po int symmetry breakings, such as mirror and rotation symmetry, which ca use the patterns to travel and may give rise to spirals or labyrinths. The second type manifests itself as a collective out-of-phase tempora l oscillation, resulting in spatial-period tripling. We present both a numerical and an analytical analysis of the new emerging patterns.