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Dynamics of Perturbed Wavetrain Solutions to the Ginzburg‐Landau Equation

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The bifurcation structure and asymptotic dynamics of even, spatially periodic solutions to the time‐dependent Ginzburg‐Landau equation are investigated analytically and numerically. All solutions spring from unstable periodic modulations of a uniform wavetrain. Asymptotic states include limit cycles, two‐tori, and chaotic attractors. Lyapunov exponents for some chaotic motions are obtained. These show the solution strange attractors to have a fractal dimension slightly greater than 3.
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Document Type: Research Article

Affiliations: University of Southern California

Publication date: October 1, 1985

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