Diversity-induced coherence resonance in spatially extended chaotic systems

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Hanshuang Chen ◽  
Jiqian Zhang
Keyword(s):  
Chaotic Systems ◽  
Coherence Resonance ◽  
Spatially Extended

Correlated Brownian motion and diffusion of defects in spatially extended chaotic systems

2019 ◽  
Vol 29 (7) ◽  
pp. 071104 ◽  
Author(s):  
S. T. da Silva ◽  
T. L. Prado ◽  
S. R. Lopes ◽  
R. L. Viana
Keyword(s):  
Brownian Motion ◽  
Chaotic Systems ◽  
Spatially Extended ◽  
And Diffusion

Dynamic scaling of bred vectors in spatially extended chaotic systems

2006 ◽  
Vol 76 (5) ◽  
pp. 767-773 ◽  
Author(s):  
C Primo ◽  
I. G Szendro ◽  
M. A Rodríguez ◽  
J. M López
Keyword(s):  
Chaotic Systems ◽  
Dynamic Scaling ◽  
Spatially Extended ◽  
Bred Vectors

scholarly journals Coherence resonance in chaotic systems

2001 ◽  
Vol 56 (3) ◽  
pp. 347-353 ◽  
Author(s):  
C Palenzuela ◽  
R Toral ◽  
C. R Mirasso ◽  
O Calvo ◽  
J. D Gunton
Keyword(s):  
Chaotic Systems ◽  
Coherence Resonance

scholarly journals ANOMALOUS SYNCHRONIZATION OF SPATIALLY EXTENDED CHAOTIC SYSTEMS IN THE PRESENCE OF ASYMMETRIC COUPLING

2005 ◽  
Vol 05 (02) ◽  
pp. L251-L258
Author(s):  
S. BOCCALETTI ◽  
C. MENDOZA ◽  
J. BRAGARD
Keyword(s):  
Chaotic Systems ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Turbulence Regime ◽  
Asymmetric Coupling ◽  
Spatially Extended ◽  
Ginzburg Landau Equations ◽  
Phase Singularities ◽  
Coupling Strengths ◽  
Spatially Extended Systems

This paper describes the effects of an asymmetric coupling in the synchronization of two spatially extended systems. Namely, we report the consequences induced by the presence of asymmetries in the coupling configuration of a pair of one-dimensional fields obeying Complex Ginzburg–Landau equations. While synchronization always occurs for large enough coupling strengths, asymmetries have the effect of enhancing synchronization and play a crucial role in setting the threshold for the appearance of the synchronized dynamics, as well as in selecting the statistical and dynamical properties of the synchronized motion. We discuss the process of synchronization in the presence of asymmetries by using some analytic expansions valid for a regime of soft spatial temporal chaos (i.e. phase turbulence regime). The influence of phase singularities that break the validity of the analysis is also discussed.

COHERENCE RESONANCE PHENOMENA IN AN EXCITABLE SYSTEM DRIVEN BY COLORED NOISE

2006 ◽  
Vol 06 (01) ◽  
pp. L85-L94 ◽  
Author(s):  
V. BEATO ◽  
H. ENGEL
Keyword(s):  
Correlation Length ◽  
Correlation Time ◽  
Colored Noise ◽  
Coherence Resonance ◽  
Stochastic Field ◽  
Bz Reaction ◽  
Excitable System ◽  
Spatially Extended ◽  
Spatio Temporal ◽  
Oregonator Model

We study the coherence of noise-induced excitations in a modified stochastic Oregonator model for the light-sensitive Belousov-Zhabotinsky (BZ) reaction assuming that the intensity of the applied illumination is a spatio-temporal stochastic field with finite correlation time and correlation length. For a single excitable element, we find coherence resonance (CR) with respect to the correlation time. In the spatially extended medium of diffusively coupled excitable elements, we observe CR for suitable combinations of the correlation time and length of the noise.

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