Vortex Dynamics in a Coupled Map Lattice
We present a new method for investigating the behaviour of partial differential equations, specifically the complex Ginzburg-Landau equation, by approximating them as systems of coupled map lattices. The method is very efficient and well suited to an investigation of possible universal results about the phase diagram and the transition to turbulence. Preliminary results on vortex structure, dynamics and occurrence are given and we note the existence of turbulent states well below the linear stability threshold from which we argue that one must investigate the dynamics in the regime of very low vortex density in order to gain useful insight into the onset of turbulence.
KeywordsHopf Bifurcation Turbulent State Vortex Pair Vortex Center Vortex State
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