Bifurcation Scenario to Nikolaevskii Turbulence in Small Systems

Dan Tanaka

doi:10.1143/jpsj.74.2223

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Bifurcation Scenario to Nikolaevskii Turbulence in Small Systems

Dan Tanaka

Author information

Keywords: chaos, turbulence, phase turbulence, Kuramoto–Sivashinsky equation, Nikolaevskii equation, Kuramoto–Sivashinsky turbulence, Nikolaevskii turbulence, bifurcation, amplitude equation

JOURNAL RESTRICTED ACCESS

2005 Volume 74 Issue 8 Pages 2223-2225

DOI https://doi.org/10.1143/jpsj.74.2223

Details

Abstract

First, we confirm that the chaos in the Kuramoto–Sivashinsky equation occurs through period-doubling cascade (Feigenbaum scenario). Then, we show that the chaos in the Nikolaevskii equation occurs via the torus-doubling bifurcation (Ruelle–Takens–Newhouse scenario).

Content from these authors

This article cannot obtain the latest cited-by information.

Favorites & Alerts

Corresponding author

Register with J-STAGE for free!