Bifurcation scenario to Nikolaevskii turbulence in small systems

Details Bifurcation scenario to Nikolaevskii turbulence in small systems Bifurcation scenario to Nikolaevskii turbulence in small systems

2005-04-14

arxiv.org/abs/nlin/0504031v1

Nonlinear Sciences

Chaotic Dynamics

8pages, 9figures

Scientific paper

10.1143/JPSJ.74.2223

We show that the chaos in Kuramoto-Sivashinsky equation occurs through
period-doubling cascade (Feigenbaum scenario), in contrast, the chaos in
Nikolaevskii equation occurs through torus-doubling bifurcation
(Ruelle-Takens-Newhouse scenario).

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