P.L. Buono, M. Golubitsky and A. Palacios.
Heteroclinic Cycles in Systems with D_n Symmetry
In:
Bifurcation Theory and its Numerical Analysis (Z. Chen, S-N Chow and
K. Li, eds), Springer-Verlag Singapore Pte. Ltd., 1999, 13-27.
In this paper we investigate numerically the existence of
heteroclinic cycles connecting periodic solutions and equilibria in systems
of differential equations with dihedral D_n symmetry. We study these
cycles near steady-state/Hopf and Hopf/Hopf mode interaction points.
The existence of these cycles depends on normal form symmetries and
their construction is based on the lattice of isotropy subgroups. A
variety of interesting forms of intermittency are found and illustrated.