Frequency locking in spatially extended systems

Physical Review Letters

Volumn 86, Issue 6, 2001, Pages 1130-1133

  Park, Hwa Kyun ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHEMICAL REACTIONS; DIFFUSION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; RANDOM PROCESSES;

ARNOL'D TONGUE STRUCTURE; CHEMICAL OSCILLATION; FREQUENCY LOCKING; GINZBURG-LANDAU EQUATION; LIGHT SENSITIVE BELOUSOV-ZHABOTINSKY REACTION; LINEAR STABILITY ANALYSIS; NONLINEAR OSCILLATOR;

CHAOS THEORY;

EID: 0035251456     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1130     Document Type: Article

References (20)

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19. 2 reflects the diffusion effect on frequency in Eq. (1). The interaction between phase and amplitude modes yields the nonlinear coupling term from linear diffusive coupling. In this sense, simple phase models such as a coupled circle map [18] cannot account for the results presented in this Letter since it does not have amplitude variables.
20. 2 is always positive since b + d < 0 from the experimental consideration explained near Eq. (3). Note that labyrinths would arise at the lower frequency if we chose the sign of b, d positive. In such a case, diffusion decreases the frequency of patterns, enhancing locking at low frequencies.