Europhys. Lett., 63 (3) , pp. 361-367 (2003)
Rotational bifurcation of localized dissipative structures
A. S. Moskalenko, A. W. Liehr and H.-G. PurwinsInstitut für Angewandte Physik - Corrensstr. 2/4, D-48149 Münster, Germany obi@uni-muenster.de
(Received 31 January 2003; accepted in final form 27 May 2003)
Abstract
A topic of great interest for pattern-forming systems is the
possibility of a spontaneous change in symmetry and dynamics as
one slowly varies an external parameter. In this letter, we
identify that a stationary localized structure without rotational
symmetry, such as a pair of bound dissipative solitons, can
spontaneously begin to rotate. The underlying mechanism is similar
to the widely studied mechanism of the drift bifurcation in which
structures begin to drift at constant velocity. We find a
particular example of this new bifurcation for a 3-component
reaction-diffusion system in 2 dimensions, and show that it can
precede the drift bifurcation.
47.54.+r - Pattern selection; pattern formation.
05.45.Yv - Solitons.
02.30.Oz - Bifurcation theory.
© EDP Sciences 2003


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