PMID: 11308760Apr 20, 2001Paper

Transition to stochastic synchronization in spatially extended systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L BaroniA Torcini

Abstract

Spatially extended dynamical systems, namely coupled map lattices, driven by additive spatio-temporal noise are shown to exhibit stochastic synchronization. In analogy with low-dimensional systems, synchronization can be achieved only if the maximum Lyapunov exponent becomes negative for sufficiently large noise amplitude. Moreover, noise can suppress also the nonlinear mechanism of information propagation, which may be present in the spatially extended system. An example of phase transition is observed when both the linear and the nonlinear mechanisms of information production disappear at the same critical value of the noise amplitude. The corresponding critical properties cannot be estimated numerically with great accuracy, but some general argument suggests that they could be ascribed to the Kardar-Parisi-Zhang universality class. Conversely, when the nonlinear mechanism prevails on the linear one, another type of phase transition to stochastic synchronization occurs. This one is shown to belong to the universality class of directed percolation.

References

Jan 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A S Pikovsky, J Kurths
Mar 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R KapralA Politi
Sep 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H Herzel, J Freund
Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
Mar 12, 1990·Physical Review Letters·E OttJ A Yorke
Feb 19, 1990·Physical Review Letters·L M Pecora, T L Carroll
Aug 3, 1992·Physical Review Letters·S Fahy, D R Hamann
Mar 7, 1994·Physical Review Letters·A Maritan, J R Banavar
Nov 21, 1994·Physical Review Letters·A S Pikovsky
Nov 21, 1994·Physical Review Letters·A Maritan, J R Banavar
Jun 3, 1996·Physical Review Letters·G GrinsteinY Tu
Aug 12, 1996·Physical Review Letters·E AurellA Vulpiani

❮ Previous
Next ❯

Citations

Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Cencini, A Torcini
Jul 5, 2002·Physical Review Letters·Volker Ahlers, Arkady Pikovsky
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F GinelliA Politi
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Denis S Goldobin, Arkady Pikovsky
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kazumasa A TakeuchiMasaki Sano
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C S ZhouF T Arecchi
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F GinelliA Torcini
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Prashant M Gade, Chin-Kun Hu
Jun 6, 2003·Physical Review Letters·Miguel A Muñoz, Romualdo Pastor-Satorras
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F GinelliA Torcini
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kazuyuki YoshimuraPeter Davis
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antônio M BatistaSergio R Lopes
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiromichi SuetaniShin Mizutani
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michel Droz, Adam Lipowski
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Miguel A MuñozClaudio Castellano
Jun 1, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C MendozaA Politi
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Franco Bagnoli, Raúl Rechtman
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Achille GiacomettiLibero Battiston
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ivan G Szendro, Juan M López
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adam Lipowski, Michel Droz
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P K Mohanty

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Franco Bagnoli, Raúl Rechtman
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Lipowski, M Droz
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M Droz, A Lipowski
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Peter RuppIngo Rehberg
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
F GinelliA Torcini
© 2021 Meta ULC. All rights reserved