title: Rotational motion of traveling spots in dissipative systems.
abstract: 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.
authors.affiliation: Faculty of Photonics Science, Chitose Institute of Science and Technology, Chitose, Japan.
authors.forename: Takashi
authors.initials: T
authors.lastname: Teramoto
authors.forename: Katsuya
authors.initials: K
authors.lastname: Suzuki
authors.forename: Yasumasa
authors.initials: Y
authors.lastname: Nishiura
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D012399:Rotation