New theory of spatio-temporal chaos in nonlinear systems of partial differential equations |
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| Authors: | Nikolai A.Magnitskii |
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| Affiliation: | Institute for Systems Analysis RAS, Russian Academy of Sciences, 9, Prospect 60-let Oktyabrya, Moscow 117312, Russia |
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| Abstract: | It is shown that there exists one universal scenario of transition to chaos in three considered systems of nonlinear partial differential equations of diffusion type. It is the subharmonic cascade of bifurcations of two-dimensional tori along one or both frequencies. So, it is shown that the new universal Feigenbaum-Sharkovskii-Magnitskii theory of dynamical chaos in nonlinear differential equations is applicable also for nonlinear partial differential equations of diffusion type. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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