%0 Book Section %1 statphys23_0705 %A Revelli, J.A. %A Rodriguez, M.A. %A Wio, H.S. %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 behavior chaos climate dynamical effects extended noise nonlinear statphys23 systems topic-3 %T External Noise Effects on the Dynamics of an Extended Chaotic System %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=705 %X The study of the behavior of nonlinear dynamical systems when submitted to different kind of perturbations has been the subject of a very large number of analysis. However, studies on the effect of noise on spatially extended chaotic systems are scarce. In this work we investigate the effects of a time-correlated noise on an extended chaotic system. The chosen model, the so called Lorenz '96, a kind of toy model described by $$x_i(t) = x_i-1 x_i-2 - x_i+1 - x_i + F_i(t),\,\,\,\,\,\, i=1, ..,N$$ is of interest for the analysis of climate behavior. We have assumed that $F_i(t) = F_med + \psi_i (t)$, with $F_med$ a (constant) deterministic, and $\psi_i (t)$ a stochastic contribution. Through the analysis of the system's temporal evolution and its time and space correlations, we have obtained numerical evidence of two stochastic resonance-like behavior. Such a behavior is seen when both, the usual and a generalized signal-to-noise ratio (SNR) function, called global SNR, are depicted as a function of the external noise intensity or the system size. The resonances typically occur at frequencies corresponding to system's quasi-periodic orbits. The possible relevance of these and other findings for an optimal climate prediction are discussed.

@incollection{statphys23_0705, abstract = {The study of the behavior of nonlinear dynamical systems when submitted to different kind of perturbations has been the subject of a very large number of analysis. However, studies on the effect of noise on spatially extended chaotic systems are scarce. In this work we investigate the effects of a time-correlated noise on an extended chaotic system. The chosen model, the so called Lorenz '96, a kind of {\it toy model} described by $$\dot{x}_{i}(t) = x_{i-1} [x_{i-2} - x_{i+1}] - x_{i} + F_{i}(t),\,\,\,\,\,\, i=1, ..,N$$ is of interest for the analysis of climate behavior. We have assumed that $F_{i}(t) = F_{med} + \psi_{i} (t)$, with $F_{med}$ a (constant) deterministic, and $\psi_{i} (t)$ a stochastic contribution. Through the analysis of the system's temporal evolution and its time and space correlations, we have obtained numerical evidence of two stochastic resonance-like behavior. Such a behavior is seen when both, the usual and a generalized signal-to-noise ratio (SNR) function, called {\it global} SNR, are depicted as a function of the external noise intensity or the system size. The resonances typically occur at frequencies corresponding to system's quasi-periodic orbits. The possible relevance of these and other findings for an optimal climate prediction are discussed.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Revelli, J.A. and Rodriguez, M.A. and Wio, H.S.}, biburl = {https://www.bibsonomy.org/bibtex/2695a37c34b9745e2d47241661c108e23/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {bb6b109a88a914a89239a5dd0a7ebfb8}, intrahash = {695a37c34b9745e2d47241661c108e23}, keywords = {behavior chaos climate dynamical effects extended noise nonlinear statphys23 systems topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:27.000+0200}, title = {External Noise Effects on the Dynamics of an Extended Chaotic System}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=705}, year = 2007 }