Rotational motion of traveling spots in dissipative systems

What is the origin of rotational motion? An answer is presented through the study of the dynamics for spatially localized spots near codimension 2 singularity consisting of drift and peanut instabilities. The drift instability causes a head-tail asymmetry in spot shape, and the peanut one implies a...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-10, Vol.80 (4 Pt 2), p.046208-046208, Article 046208
Main Authors: Teramoto, Takashi, Suzuki, Katsuya, Nishiura, Yasumasa
Format: Article
Language:English
Subjects:
Computer Simulation
Energy Transfer
Models, Theoretical
Nonlinear Dynamics
Rotation
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Summary:What is the origin of rotational motion? An answer is presented through the study of the dynamics for spatially localized spots near codimension 2 singularity consisting of drift and peanut instabilities. The drift instability causes a head-tail asymmetry in spot shape, and the peanut one implies a deformation from circular to peanut shape. Rotational motion of spots can be produced by combining these instabilities in a class of three-component reaction-diffusion systems. Partial differential equations dynamics can be reduced to a finite-dimensional one by projecting it to slow modes. Such a reduction clarifies the bifurcational origin of rotational motion of traveling spots in two dimensions in close analogy to the normal form of 1:2 mode interactions.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.80.046208