Phase Turbulence, Spatiotemporal Intermittency and Coherent Structures
The essentially spatiotemporal dynamics of extended physical systems is still poorly understood. Indeed, in spite of the success of dynamical systems theory to explain the deterministic chaos occurring in confined situations, this approach is unable to handle the complex behaviors appearing when the spatial structure is not frozen. From this point of view, turbulence may be seen as the ultimate complex system, and it seems interesting to study models of extended systems somewhat “simpler” than the Navier-Stokes equations but nevertheless retaining some of the essential physics of the problem.
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