Volume 64, Number 6, December 2003
|Page(s)||743 - 749|
|Published online||01 November 2003|
Geometrical resonance in spatiotemporal systems
Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas Apartado Postal 21827, Caracas 1020-A, Venezuela
2 Escuela de Fisica, Facultad de Ciencias, Universidad Central de Venezuela Apartado Postal 47586, Caracas 1041-A, Venezuela
3 Departamento de Fisica, Universidad Simón Bolivar Apartado Postal 89000, Caracas 1080-A, Venezuela
Accepted: 13 October 2003
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.
PACS: 05.45.Gg – Control of chaos, applications of chaos / 47.54.+r – Pattern selection; pattern formation / 05.45.Yv – Solitons
© EDP Sciences, 2003
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