The existence and stability of structurally stable heteroclinic cycles are discussed in a codimension-2 bifurcation problem with O(3)-symmetry, when the critical spherical modes l = 1 and l = 2 occur simultaneously. Several types of heteroclinic cycles are found which may explain aperiodic attractors found in numerical simulations for the onset of convection in a self-gravitating fluid in a spherical shell.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics