%0 Book Section %1 statphys23_0094 %A González, J.A. %A Bellorń, A. %A Reyes, L.I. %A Vásquez, C. %A Guerrero, L.E. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K chaos control pattern selection solitons statphys23 topic-5 turbulence %T Pattern control and suppression of spatiotemporal chaos using geometrical resonance %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=94 %X We generalize the concept of geometrical resonance to perturbed sine-Gordon, Nonlinear Schr$o$dinger, $\varphi^4$, 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.

@incollection{statphys23_0094, abstract = {We generalize the concept of geometrical resonance to perturbed sine-Gordon, Nonlinear Schr$\ddot{o}$dinger, $\varphi^{4}$, 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.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Gonz\'{a}lez, J.A. and Bellor\'{\i }n, A. and Reyes, L.I. and V\'{a}squez, C. and Guerrero, L.E.}, biburl = {https://www.bibsonomy.org/bibtex/24c61e8fc6f38a9ce026c27cb0ba2678f/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {a7b1793e5bb96ad095c3e8e4275467a8}, intrahash = {4c61e8fc6f38a9ce026c27cb0ba2678f}, keywords = {chaos control pattern selection solitons statphys23 topic-5 turbulence}, month = {9-13 July}, timestamp = {2007-06-20T10:16:11.000+0200}, title = {Pattern control and suppression of spatiotemporal chaos using geometrical resonance}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=94}, year = 2007 }