Abstract
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 1=1 and 1=2 occur at the same time. Several types of heteroclinic cycles are found, which may explain aperiodic attractors found in numerical simulations of the onset of convection in a self-gravitating fluid spherical shell (Friedrich, Haken [1986]).
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Chossat, P., Armbruster, D. (1991). Structurally stable heteroclinic cycles in a system with O(3) symmetry. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085425
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DOI: https://doi.org/10.1007/BFb0085425
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