Email this article Traveling Waves and Space-Time Chaos in the Kuramoto–Sivashinsky Equation
- Authors: Magnitskii N.A.1,2
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Affiliations:
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Lomonosov Moscow State University
- Issue: Vol 54, No 9 (2018)
- Pages: 1266-1270
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154843
- DOI: https://doi.org/10.1134/S0012266118090148
- ID: 154843
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Abstract
The transition to space-time chaos in the Kuramoto–Sivashinsky equation through cascades of traveling wave bifurcations in accordance with the Feigenbaum–Sharkovskii–Magnitskii universal bifurcation scenario is analyzed analytically and numerically. It is proved that the bifurcation parameter is the traveling wave propagation velocity along the spatial axis, which does not explicitly occur in the original equation.
About the authors
N. A. Magnitskii
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Lomonosov Moscow State University
Author for correspondence.
Email: nikmagn@gmail.com
Russian Federation, Moscow, 119333; Moscow, 119991
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