Dynamical features of the generalized Kuramoto-Sivashinsky equation

N.A. Kudryashov and S.F. Lavrova

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: The stabilizing effects of dispersion on the dynamics of the generalized Kuramoto-Sivashinsky equation at various degrees of nonlinearity are considered in this paper. The second and third sections investigate properties of the traveling wave reduction of the Kuramoto-Sivashinsky equation. In the fourth section the changing dynamics of the generalized KuramotoSivashinsky PDE is explored by calculating the largest Lyapunov exponents over a range of values of the dispersion parameter.

Keywords: Bifurcation diagram; Nonlinear partial differential equation; Chaos; Lyapunov exponents; Lyapunov coefficient; Hopf bifurcation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308948

DOI: 10.1016/j.chaos.2020.110502

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