Bifurcation scenario to Nikolaevskii turbulence in small systems
arXiv:nlin/0504031 · doi:10.1143/JPSJ.74.2223
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).
8pages, 9figures