2024-03-28T23:40:07Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/398472022-11-17T02:08:08Zhdl_2115_20057hdl_2115_148Rotational motion of traveling spots in dissipative systemsTeramoto, TakashiSuzuki, KatsuyaNishiura, Yasumasabifurcationpartial differential equationsreaction-diffusion systems423What 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.American Physical SocietyJournal Articleapplication/pdfhttp://hdl.handle.net/2115/39847https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/39847/1/PRE80-4_046208.pdf1539-3755Physical Review E8040462082009-10enginfo:doi/10.1103/PhysRevE.80.046208© 2009 The American Physical Societypublisher