Spiral wave dynamics in oscillatory inhomogeneous media

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

Volumn 61, Issue 5, 2000, Pages 4943-4953

  Hendrey, Matthew ^a   Ott, Edward ^a   Antonsen, Thomas M ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KINETICS; OSCILLOMETRY; THEORETICAL MODEL;

KINETICS; MODELS, THEORETICAL; OSCILLOMETRY;

WAVEFRONTS;

COMPLEX GINZBURG-LANDAU EQUATION; DRIFT VELOCITIES; INHOMOGENEITIES; INHOMOGENEOUS MEDIA; LIMIT CYCLE ATTRACTORS; LOCAL PARAMETERS; SPIRAL VORTICES; SPIRAL WAVE DYNAMICS;

VORTEX FLOW;

EID: 0034183285     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.4943     Document Type: Article

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33. This argument neglects motion of the vortices such as the slow drift due to the inhomogeneity, Eq. (34).
34. For (Formula presented) the wave numbers (Formula presented) and the dominant spiral will have the highest frequency.
35. Otherwise the transformation (Formula presented) (Formula presented) and (Formula presented) could be used to rescale (Formula presented) to unity.
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37. Chaotic or quasiperiodic vortex motion could result if the inhomogeneity had a slow periodic time dependency, or if the gradient length were short enough so that our analysis yielding (Formula presented) did not apply. In regard to the latter, see Aranson et al. 19, who observe quasiperiodic motion in the case of a strong localized gradient.