Bifurcation scenario to Nikolaevskii turbulence in small systems
Chaotic Dynamics
2009-11-11 v1 Pattern Formation and Solitons
Abstract
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).
Keywords
Cite
@article{arxiv.nlin/0504031,
title = {Bifurcation scenario to Nikolaevskii turbulence in small systems},
author = {Dan Tanaka},
journal= {arXiv preprint arXiv:nlin/0504031},
year = {2009}
}
Comments
8pages, 9figures