Transitions from Relative Equilibria to Relative Periodic Orbits
نویسندگان
چکیده
We consider G-equivariant semilinear parabolic equations where G is a finite-dimensional possibly non-compact symmetry group. We treat periodic forcing of relative equilibria and resonant periodic forcing of relative periodic orbits as well as Hopf bifurcation from relative equilibria to relative periodic orbits using LyapunovSchmidt reduction. Our main interest are drift phenomena caused by resonance. In comparison to a center manifold approach LyapunovSchmidt reduction is technically easier. We discuss impacts of our results on spiral wave dynamics. 2000 Mathematics Subject Classification: 35B32, 35K57, 57S20.
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