Synchronized disorder in a 2D complex Ginzburg-Landau equation
نویسندگان
چکیده
The phenomenon of spiral pair synchronization by oscillating strips (Nozaki-Bekki solution) in a 2D CGLE is investigated analytically. The equations describing the interaction of the strips with one another and with spirals are derived. Analysis of the equations shows that under certain conditions the strips lead to frequency and phase locking of the spirals. In this case the spiral pair (dipole) is aligned parallel to the strips, with the position along the strips being arbitrary. Thus, the interaction with strips may transform the spatio-temporal chaos of spirals to the regime of periodically oscillating spatial disorder. The dynamics of circular strips is investigated and their lifetime is estimated. The behavior of the spirals bounded by circular stript is analysed.
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