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Showing 1 to 3 of 3 for “"dynamics of spatially extended systems"”.
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Renormalization group methods for dynamics of spatially extended systems
… a powerful tool and concept in the study of dynamics of spatially extended systems: different microscopic dynamics may be related, via coarse graining, to the same macroscopic dynamics. This thesis makes two contributions in this direction: first, we obtain the correct description of the …
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Some problems in the dynamics of spatially extended systems
… we study some representative problems in the dynamics of systems which have a non-trivial spatial dependence. In the first chapter, we study the perturbed sine-Gordon equation and the ""Painleve test of integrability."" We present results of our numerical studies of the d.c. driven, damped …
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Dynamical systems approach to one-dimensional spatiotemporal chaos -- A cyclist's view
We propose a dynamical systems approach to the study of weak turbulence(spatiotemporal chaos) based on the periodic orbit theory, emphasizing the role of recurrent patterns and coherent structures. After a brief review of the periodic orbit theory and its application to low-dimensional dynamics, we …