Chaotic dynamics of an unstable Burgers equation

DOI10.1016/S0167-2789(98)00317-0zbMath0942.37020OpenAlexW2076662251MaRDI QIDQ1962429

Hidetsugu Sakaguchi

Publication date: 31 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00317-0

zbMATH Keywords

Lyapunov exponentsspatio-temporal chaosshock structureLyapunov vectorscellular structuresmodified Burgers equationunstable linear term

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

A BRIEF SURVEY ON CONSTRUCTING HOMOCLINIC STRUCTURES OF SOLITON EQUATIONS ⋮ Approximate inertial manifolds of Burgers equation approached by nonlinear Galerkin's procedure and its application ⋮ Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations

Cites Work

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• Chemical oscillations, waves, and turbulence
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• On the multifractal properties of the energy dissipation derived from turbulence data
• Pattern formation outside of equilibrium
• Statistical mechanics of the Burgers model of turbulence

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