Principal resonances, local integrability and chaos in the Kolmogorov- Spiegel-Sivashinsky equation

DOI10.1016/0020-7225(94)90134-1zbMath0795.76030OpenAlexW2000161877MaRDI QIDQ1321964

V. Pereyra

Publication date: 26 May 1994

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(94)90134-1

zbMATH Keywords

periodic orbitsbifurcationinvariant torifirst integralsfour-dimensional dynamical systemPoincaré surfacenormal form analysisprincipal resonances

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Waves for incompressible viscous fluids (76D33)

Related Items (1)

Computation of the coefficients associated with the normal form of a resonant five-dimensional system.

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Weak turbulence in periodic flows
• Determining Lyapunov exponents from a time series
• Travelling waves and chaos in the Kolmogorov-Spiegel-Sivashinsky model
• A local analysis of the Kolmogorov-Spiegel-Sivashinsky equation
• Survey of works on conditions of stability of the trivial solution of a system of linear differential equations with periodic coefficients

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