Spatiotemporal chaos in one- and two-dimensional coupled map lattices

1989 ◽  
Vol 37 (1-3) ◽  
pp. 60-82 ◽  
Author(s):  
Kunihiko Kaneko
Keyword(s):  
Spatiotemporal Chaos ◽  
Coupled Map Lattices ◽  
Two Dimensional

Controlling Spatiotemporal Chaos by Pinning Method in Two-Dimensional Coupled Map Lattices

1995 ◽  
Vol 34 (Part 2, No. 10B) ◽  
pp. L1420-L1422 ◽  
Author(s):  
Yuji Ohishi ◽  
Hirotada Ohashi ◽  
Mamoru Akiyama
Keyword(s):  
Spatiotemporal Chaos ◽  
Coupled Map Lattices ◽  
Two Dimensional

Selection and stabilization of spatiotemporal patterns in two-dimensional coupled map lattices

1997 ◽  
Vol 56 (3) ◽  
pp. 2568-2572 ◽  
Author(s):  
Yu Jiang ◽  
A. Antillón ◽  
P. Parmananda ◽  
J. Escalona
Keyword(s):  
Spatiotemporal Patterns ◽  
Coupled Map Lattices ◽  
Two Dimensional

Controlling spatiotemporal chaos in one- and two-dimensional coupled logistic map lattices

1996 ◽  
Author(s):  
Vladimir V. Astakhov ◽  
Vadim S. Anishchenko ◽  
Galina I. Strelkova ◽  
Alexey V. Shabunin
Keyword(s):  
Logistic Map ◽  
Spatiotemporal Chaos ◽  
Two Dimensional

scholarly journals INHERENT GLOBAL STABILIZATION OF UNSTABLE LOCAL BEHAVIOR IN COUPLED MAP LATTICES

2005 ◽  
Vol 15 (05) ◽  
pp. 1665-1676 ◽  
Author(s):  
HARALD ATMANSPACHER ◽  
HERBERT SCHEINGRABER
Keyword(s):  
Fixed Points ◽  
Necessary Conditions ◽  
External Control ◽  
Coupled Map Lattices ◽  
Global Stabilization ◽  
Two Dimensional ◽  
Local Behavior ◽  
Asynchronous Updating

The behavior of two-dimensional coupled map lattices is studied with respect to the global stabilization of unstable local fixed points without external control. It is numerically shown under which circumstances such inherent global stabilization can be achieved for both synchronous and asynchronous updating. Two necessary conditions for inherent global stabilization are derived analytically.

THE INTERPLAY OF UNCORRELATED NOISE AND SMALL WORLD EFFECT ON PATTERN FORMATION IN TWO-DIMENSIONAL COUPLED MAP LATTICES

2012 ◽  
Vol 26 (31) ◽  
pp. 1250130 ◽  
Author(s):  
DAOGUANG WANG ◽  
XIAOSHA KANG ◽  
HUAPING LÜ
Keyword(s):  
Pattern Formation ◽  
Coupling Strength ◽  
Gaussian Noise ◽  
Nearest Neighbor ◽  
Spiral Wave ◽  
Small World ◽  
Coupled Map Lattices ◽  
Two Dimensional ◽  
Excitable Systems ◽  
Generic Dynamics

By using a neuron-like map model to denote the generic dynamics of excitable systems, Gaussian-noise-induced pattern formation in the two-dimensional coupled map lattices with nearest-neighbor coupling and shortcut links has been studied. Given the appropriate initial values and parameter regions, with all nodes concerned, the functions of δ(n), χ and ℜ are introduced to analyze the evolution of pattern formation. It is found that there exists a critical εc beyond which the stable rotating spiral wave will appear. After introducing the Gaussian noise for the homogeneous ε region, different spatiotemporal stable patterns will be achieved. Additionally, the importance of the parameter I on the coupling strength C is discussed.

Synchronizing spatiotemporal chaos in coupled map lattices via active-passive decomposition

1998 ◽  
Vol 58 (3) ◽  
pp. 3017-3021 ◽  
Author(s):  
Wang Jinlan ◽  
Chen Guangzhi ◽  
Qin Tuanfa ◽  
Ni Wansun ◽  
Wang Xuming
Keyword(s):  
Spatiotemporal Chaos ◽  
Coupled Map Lattices

Universal Critical Behavior in Two-Dimensional Coupled Map Lattices

1996 ◽  
Vol 77 (19) ◽  
pp. 4003-4006 ◽  
Author(s):  
Philippe Marcq ◽  
Hugues Chaté ◽  
Paul Manneville
Keyword(s):  
Critical Behavior ◽  
Coupled Map Lattices ◽  
Two Dimensional
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