Spatiotemporal order out of noise

By F. Sagués, J. M. Sancho, Jordi García-Ojalvo. 2007

415 citations recorded by the source corpus.

Natural systems are undeniably subject to random fluctuations, arising from either environmental variability or thermal effects. The consideration of those fluctuations supposes to deal with noisy quantities whose variance might at times be a sizable fraction of their mean levels. It is known that, under these conditions, noisy fluctuations can interact with the system’s nonlinearities to render counterintuitive behavior, in which an increase in the noise level produces a more regular behavior. In systems with spatial degrees of freedom, this regularity takes the form of spatiotemporal order. An overview is presented of the mechanisms through which noise induces, enhances, and sustains ordered behavior in passive and active nonlinear media, and different spatiotemporal phenomena are described resulting from these effects. The general theoretical framework used in the analysis of these effects is reviewed, encompassing the theory of stochastic partial differential equations and coupled sets of ordinary stochastic differential equations. Experimental observations of self-organized behavior arising out of noise are also described, and details on the numerical algorithms needed in the computer simulation of these problems are given.

Subfields: Computer Networks and Communications, Global and Planetary Change, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0648c1d17d4ecf0fe5601e0c3eefabed367d702a

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In Computer Networks and Communications

In Global and Planetary Change

In Statistical and Nonlinear Physics

Citations in the corpus

Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system (2011, background): “…(2007) (where the corresponding dynamics was also branded as chaotic), although their interpretation of the underlying mechanism was completely different. excitable system where the diffusivity of the interacting components is significantly different (Muratov and Osipov 1996; Sagués et al. 2007).”
Noise-Induced Phenomena in the Environmental Sciences (2011, methodology): “We conclude this section by mentioning a particular subclass of processes that attracted a certain interest in this field (Buceta and Lindenberg, 2004; Sagues et al., 2007).”
Balanced Networks of Spiking Neurons with Spatially Dependent Recurrent Connections (2013, methodology): “The study of spatiotemporal dynamics and variability in complex systems is at the interface of the physical, chemical, biological, and social sciences [1,2].”
Mathematical models of vegetation pattern formation in ecohydrology (2009, methodology): “…based on spatiotemporal stochastic resonance [Benzi et al., 1985; Loescher et al., 2003; Spagnolo et al., 2004], coherence resonance [e.g., Sagues et al., 2007], noise-induced phenomena in excitable systems [Sagues et al., 2007], and front dynamics in the presence of external noise…”