Claudia Wulff, Jeroen S. W. Lamb and Ian Melbourne:

Bifurcation from relative periodic solutions

abstract:

Relative periodic solutions are ubiquitous in dynamical systems with 
continuous symmetry.  Recently, Sandstede, Scheel and Wulff derived 
a center bundle theorem, reducing local bifurcation from relative
periodic solutions to a finite dimensional problem.
Independently, Lamb and Melbourne showed how to systematically 
study local bifurcation from isolated periodic solutions with discrete
spatiotemporal symmetries.

In this paper, we show how the center bundle theorem, when 
combined with certain group theoretic results, reduces bifurcation from
relative periodic solutions to bifurcation from isolated periodic
solutions.  In this way, we obtain 
a systematic approach to the study of local bifurcation from
relative periodic solutions.