Dynamics of Perturbed Wavetrain Solutions to the Ginzburg‐Landau Equation
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.
No Supplementary Data
No Article Media
Document Type: Research Article
Affiliations: University of Southern California
Publication date: October 1, 1985