论文信息 - THE KURAMOTO-SIV ASIDNSKY EQUATION: A BRIDGE BETWEEN POE'S AND DYNAMICAL SYSTEMS

THE KURAMOTO-SIV ASIDNSKY EQUATION: A BRIDGE BETWEEN POE'S AND DYNAMICAL SYSTEMS

Through extensive numerical simulation, we have characterized the transItIon to chaos of the solutions to the Kuramoto-Sivashinsky equation. The attracting solution manifolds undergo a complex bifurcation sequence including multimodal fixed points, invariant tori, traveling wave trains, and homoclinic orbits. We relate this behavior to earlier work where the Kuramoto-Sivashinsky equation was shown to behave as a finite dimensional dynamical system of ordinary differential equations.

J. Hyman | B. Nicolaenko

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