Geometrical resonance in spatiotemporal systems

Details Geometrical resonance in spatiotemporal systems Geometrical resonance in spatiotemporal systems

2003-10-19

arxiv.org/abs/nlin/0310026v1

Europhysics Letters 64, 743 (2003)

Nonlinear Sciences

Pattern Formation and Solitons

2 .epl files. Accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2003-00621-7

We generalize the concept of geometrical resonance to perturbed sine-Gordon, Nonlinear Schrödinger and Complex Ginzburg-Landau equations. Using this theory we can control different dynamical patterns. For instance, we can stabilize breathers and oscillatory patterns of large amplitudes successfully avoiding chaos. On the other hand, this method can be used to suppress spatiotemporal chaos and turbulence in systems where these phenomena are already present. This method can be generalized to even more general spatiotemporal systems.

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