CHECKERBOARD SPIRAL WAVES IN A 2D COUPLED MAP LATTICE: SCALING EVIDENCE-Reference-Cited by-同舟云学术

CHECKERBOARD SPIRAL WAVES IN A 2D COUPLED MAP LATTICE: SCALING EVIDENCE

Published:1999-05 Issue:05 Volume:09 Page:919-928
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SBITNEV VALERY I.¹,DUDKIN ALEX. O.²

Affiliation:

1. Department of Condensed State Research, B. P. Konstantinov Petersburg Nuclear Physics Institute, Russ. Ac. Sci., Gatchina, Leningrad district, 188350, Russia

2. Department of Molecular and Radiation Biophysics, B. P. Konstantinov Petersburg Nuclear Physics Institute, Russ. Ac. Sci., Gatchina, Leningrad district, 188350, Russia

Abstract

Checkerboard spiral waves in a 2D CML under consideration are generic solutions in a narrow parameter layer located adjacent to the saddle-node bifurcation boundary in the spatiotemporal chaos region. The spiral wave self-organization is in close agreement with the Haken's slaving principle. Scaling correspondence between sizes of the spiral waves and the diffusion length that is a natural unit of length in the CML is established.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499000651

Reference31 articles.

1. CONNECTIVITY AND THE DYNAMICS OF INTEGRATE-AND-FIRE NEURAL NETWORKS

2. Pattern formation outside of equilibrium

3. Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation

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1. LOCAL ACTIVITY CRITERIA FOR DISCRETE-MAP CNN;International Journal of Bifurcation and Chaos;2002-06

2. STOCHASTIC RESONANCE IN 2D COUPLED MAP LATTICE MODEL OF FIELD-LIKE NEURAL TISSUE;International Journal of Bifurcation and Chaos;2000-08