Pattern formation induced by additive noise: a moment-based analysis View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2005-09

AUTHORS

S. S. Riaz, S. Dutta, S. Kar, D. S. Ray

ABSTRACT

. We analyze the condition for instability and pattern formation induced by additive noise in spatially extended systems. The approach is based on consideration of higher moments which extract out nonlinearities of appropriate order. Our analysis reveals that cubic nonlinearity plays a crucial role for the additive noise to a leading order that determines the instability threshold which is corroborated by numerical simulation in two specific reaction-diffusion systems. More... »

PAGES

255-263

References to SciGraph publications

  • 1984. Noise-Induced Transitions in FLUCTUATIONS AND SENSITIVITY IN NONEQUILIBRIUM SYSTEMS
  • 1999-05. A two-dimensional numerical study of spatial pattern formation in interacting Turing systems in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1999. Noise in Spatially Extended Systems in NONE
  • 2005-01. A model reaction diffusion system under spatial perturbation: theoretical and numerical investigation in THE EUROPEAN PHYSICAL JOURNAL B
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjb/e2005-00314-1

    DOI

    http://dx.doi.org/10.1140/epjb/e2005-00314-1

    DIMENSIONS

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