Journal ArticleDOI
Array-enhanced coherence resonance: nontrivial effects of heterogeneity and spatial independence of noise.
TLDR
The effect of coherence resonance in a heterogeneous array of coupled Fitz Hugh-Nagumo neurons is demonstrated and it is shown that coupling of such elements leads to a significantly stronger coherence compared to that of a single element.Abstract:
We demonstrate the effect of coherence resonance in a heterogeneous array of coupled Fitz Hugh--Nagumo neurons. It is shown that coupling of such elements leads to a significantly stronger coherence compared to that of a single element. We report nontrivial effects of parameter heterogeneity and spatial independence of noise on array-enhanced coherence resonance; especially, we find that (i) the coherence increases as spatial correlation of the noise decreases, and (ii) inhomogeneity in the parameters of the array enhances the coherence. Our results have the implication that generic heterogeneity and background noise can play a constructive role to enhance the time precision of firing in neural systems.read more
Citations
More filters
Journal ArticleDOI
The synchronization of chaotic systems
TL;DR: Synchronization of chaos refers to a process where two chaotic systems adjust a given property of their motion to a common behavior due to a coupling or to a forcing (periodical or noisy) as discussed by the authors.
Journal ArticleDOI
Effects of noise in excitable systems
Benjamin Lindner,Jordi Garcia-Ojalvo,Jordi Garcia-Ojalvo,Alexander Neiman,Alexander Neiman,Lutz Schimansky-Geier,Lutz Schimansky-Geier +6 more
TL;DR: In this article, the behavior of excitable systems driven by Gaussian white noise is reviewed, focusing mainly on those general properties of such systems that are due to noise, and present several applications of their findings in biophysics and lasers.
Journal ArticleDOI
Spatiotemporal order out of noise
TL;DR: In this article, the authors present 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.
Journal ArticleDOI
Reading the patterns in living cells —the physics of ca2+ signaling
TL;DR: This review presents an overview of current theoretical research on Ca2+ dynamics in living cells driven by the inositol 1,4,5-trisphosphate receptor channel.
References
More filters
Journal ArticleDOI
Collective dynamics of small-world networks
TL;DR: Simple models of networks that can be tuned through this middle ground: regular networks ‘rewired’ to introduce increasing amounts of disorder are explored, finding that these systems can be highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs.
Book
Synchronization: A Universal Concept in Nonlinear Sciences
TL;DR: This work discusseschronization of complex dynamics by external forces, which involves synchronization of self-sustained oscillators and their phase, and its applications in oscillatory media and complex systems.
Journal ArticleDOI
The mechanism of stochastic resonance
TL;DR: In this paper, it was shown that a dynamical system subject to both periodic forcing and random perturbation may show a resonance (peak in the power spectrum) which is absent when either the forcing or the perturbations is absent.
Journal ArticleDOI
Phase synchronization of chaotic oscillators
TL;DR: The new effect of phase synchronization of weakly coupled self-sustained chaotic oscillators is presented, and a relation between the phase synchronization and the properties of the Lyapunov spectrum is studied.