Origin of coherent structures in a discrete chaotic medium

Journal Article · Sun Aug 01 00:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.60.R1130· OSTI ID:357285

Rabinovich, M I; Torres, J J; Varona, P; Huerta, R ^[1]; Varona, P; Huerta, R ^[2]; Weidman, P ^[3]

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1. Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402 (United States)
2. GNB, ETS Ingenieria Informatica, Universidad Autonoma de Madrid, 28049 Madrid (Spain)
3. Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309 (United States)

Using as an example a large lattice of locally interacting Hindmarsh-Rose chaotic neurons, we disclose the origin of ordered structures in a discrete nonequilibrium medium with fast and slow chaotic oscillations. The origin of the ordering mechanism is related to the appearance of a periodic average dynamics in the group of chaotic neurons whose individual slow activity is significantly synchronized by the group mean field. Introducing the concept of a {open_quotes}coarse grain{close_quotes} as a cluster of neuron elements with periodic averaged behavior allows consideration of the dynamics of a medium composed of these clusters. A study of this medium reveals spatially ordered patterns in the periodic and slow dynamics of the coarse grains that are controlled by the average intensity of the fast chaotic pulsation. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 357285
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 60, Issue 2; Other Information: PBD: Aug 1999
• Country of Publication: United States
• Language: English

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