Coupled maps with local and global interactions

Chaos
Noriyuki Bob Ouchi, Kunihiko Kaneko

Abstract

A coupled map lattice model with both local and global couplings is studied as a simple example of hierarchical pattern dynamics with different length scales of interactions. Several phases are classified according to domain structures, degree of chaotic dynamics, distribution function, and power spectra. In particular, a cascade process of formation and collapse of bubbles is found in some parameter regime. The state is characterized by spatiotemporal power-law correlation and few positive Lyapunov exponents. In a two-dimensional case, the state leads to a characteristic spatiotemporal pattern that may be regarded as a dynamic extension of a Turing pattern. The possible relevance to natural patterns is also discussed. (c) 2000 American Institute of Physics.

References

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Citations

Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sarika JalanChin-Kun Hu
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O PopovychE Mosekilde
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Frederick H Willeboordse
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J C González-AvellaM San Miguel
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alessandro PluchinoConstantino Tsallis
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M G CosenzaA Parravano
Feb 7, 2003·Physical Review Letters·Sarika Jalan, R E Amritkar

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