منابع مشابه
Structurally stable heteroclinic cycles
This paper describes a previously undocumented phenomenon in dynamical systems theory; namely, the occurrence of heteroclinic cycles that are structurally stable within the space of C vector fields equivariant with respect to a symmetry group. In the space X(M) of C vector fields on a manifold M, there is a residual set of vector fields having no trajectories joining saddle points with stable m...
متن کاملHeteroclinic Cycles and Segregation Distortion
Segregation Distorters are genetic elements that disturb the meiotic segregation of heterozygous genotypes. The corresponding genes are \ultra-sellsh" in that they force their own spreading in the population without contributing positively to the tness of the organisms carrying them. We consider here autosomal two-locus drive systems consisting of a \killer locus" and a \target locus". The dipl...
متن کاملPseudo-simple heteroclinic cycles in R
We study pseudo-simple heteroclinic cycles for a Γ-equivariant system in R4 withfinite Γ ⊂ O(4), and their nearby dynamics. In particular, in a first step towardsa full classification – analogous to that which exists already for the class of simplecycles – we identify all finite subgroups of O(4) admitting pseudo-simple cycles. Tothis end we introduce a constructive method t...
متن کاملStable heteroclinic cycles and symbolic dynamics.
Let S(1) (0), S(1) (1),.,S(1) (n-1) be n circles. A rotation in n circles is a map f: union or logical sum (i=0) (n-1)S(1) (i)--> union or logical sum (i=0) (n-1)S(1) (i) which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps.
متن کاملHeteroclinic Cycles in Rings of Coupled Cells
Symmetry is used to investigate the existence and stability of heteroclinic cycles involving steady-state and periodic solutions in coupled cell systems with Dn-symmetry. Using the lattice of isotropy subgroups, we study the normal form equations restricted to invariant fixed-point subspaces and prove that it is possible for the normal form equations to have robust, asymptotically stable, heter...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2007
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.2352