Transition from rotating waves to modulated rotating waves on the sphere

Details Transition from rotating waves to modulated rotating waves on the sphere Transition from rotating waves to modulated rotating waves on the sphere

2005-01-27

arxiv.org/abs/math/0501492v1

Mathematics

Dynamical Systems

Scientific paper

10.1137/050631872

We study non-resonant and resonant Hopf bifurcation of a rotating wave in SO(3)-equivariant reaction-diffusion systems on a sphere. We obtained reduced differential equations on so(3), the characterization of modulated rotating waves obtained by Hopf bifurcation of a rotating wave, as well as results regarding the resonant case. Our main tools are the equivariant center manifold reduction and the theory of Lie groups and Lie algebras, especially for the group SO(3) of all rigid rotations on a sphere.

Affiliated with

Also associated with

No associations

Rating

Transition from rotating waves to modulated rotating waves on the sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Transition from rotating waves to modulated rotating waves on the sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transition from rotating waves to modulated rotating waves on the sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-431435