Escape Time Weighting of Unstable Stationary Solutions of Spatiotemporal Chaos

Details Escape Time Weighting of Unstable Stationary Solutions of Spatiotemporal Chaos Escape Time Weighting of Unstable Stationary Solutions of Spatiotemporal Chaos

1999-03-17

arxiv.org/abs/chao-dyn/9903020v1

Nonlinear Sciences

Chaotic Dynamics

3 Figures

Scientific paper

By computing 254 unstable stationary solutions of the Kuramoto-Sivashinsky equation in the extensive chaos regime (Lyapunov fractal dimension D=8.8), we find that 30% satisfy the symmetry of the time-average pattern of the spatiotemporal chaos. Using a symmetry pruning of unstable stationary solutions, the escape-time weighting average converges to the time-average pattern of the chaotic attractor as O(1/N), where N is the total number of unstable stationary solutions and unstable periodic orbits in the average.

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