Correlated noise induced spatiotemporal coherence resonance in a square lattice network

Xiaojuan Sun, Qishao Lu, Juergen Kurths

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The effects of additive correlated noise, which is composed of common Gaussian white noise and local Gaussian colored noise, on a square lattice network locally modelled by the Rulkov map are studied. We focus on the ability of noise to induce pattern formation in a resonant manner. It is shown that local Gaussian colored noise is able to induce pattern formation, which is more coherent at some noise intensity or correlation time, so it is able to induce spatiotemporal coherence resonance in the network. When common Gaussian white noise is applied in addition, it is seen that the correlated noise can induce coherent spatial structures at some intermediate noise correlation, while this is not the case for smaller and larger noise intensities. The mechanism of the observed spatiotemporal coherence resonance is discussed. It is also found that the correlation time of local colored noise has no evident effect on the optimal value of the noise strength for spatiotemporal coherence resonance in the network. (C) 2008 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)6679-6685
Number of pages7
JournalPhysica. A, Statistical Mechanics and its Applications
Volume387
Issue number26
Early online date27 Aug 2008
DOIs
Publication statusPublished - 15 Nov 2008

Keywords

  • noise
  • pattern formation
  • spatiotemporal coherence resonance

Cite this

Correlated noise induced spatiotemporal coherence resonance in a square lattice network. / Sun, Xiaojuan; Lu, Qishao; Kurths, Juergen.

In: Physica. A, Statistical Mechanics and its Applications, Vol. 387, No. 26, 15.11.2008, p. 6679-6685.

Research output: Contribution to journalArticle

Sun, Xiaojuan ; Lu, Qishao ; Kurths, Juergen. / Correlated noise induced spatiotemporal coherence resonance in a square lattice network. In: Physica. A, Statistical Mechanics and its Applications. 2008 ; Vol. 387, No. 26. pp. 6679-6685.
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