Synchronization and control of coupled Ginzburg-Landau equations using local coupling

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 4, 2000, Pages 3736-3742

  Junge, Lutz ^a   Parlitz, Ulrich ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS);

COUPLED GINZBURG-LANDAU EQUATIONS; COUPLING PARAMETERS; GINZBURG-LANDAU EQUATIONS; GINZBURG-LANDAU MODELS; LOCAL INFORMATION; NUMERICAL EXAMINATION; SPATIALLY EXTENDED SYSTEMS; SPATIOTEMPORAL CHAOS;

NONLINEAR EQUATIONS;

EID: 0000896054     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.3736     Document Type: Article

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34. The remaining additive constants for both lines are of the order of 1. We calculated the slopes for system lengths (Formula presented) and therefore the constants can be neglected in the relations for (Formula presented) and N.
35. The fluctuation of (Formula presented) for large widths l are related to the jumps that occur when the number N of coupling signals increases while increasing the system length L. This effect disappears when the width l is much smaller than L. For example, the jump in (Formula presented) by incrementing N is still (Formula presented) for a width of (Formula presented) and a length of (Formula presented)
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