Criteria for robustness of heteroclinic cycles in neural microcircuits
نویسندگان
چکیده
منابع مشابه
Criteria for robustness of heteroclinic cycles in neural microcircuits
We introduce a test for robustness of heteroclinic cycles that appear in neural microcircuits modeled as coupled dynamical cells. Robust heteroclinic cycles (RHCs) can appear as robust attractors in Lotka-Volterra-type winnerless competition (WLC) models as well as in more general coupled and/or symmetric systems. It has been previously suggested that RHCs may be relevant to a range of neural a...
متن کاملStoring Heteroclinic Cycles in Hopfield-type Neural Networks
This report demonstrates how to use the pseudoinverse learning rule to store patterns and pattern sequences in a Hopfield-type neural network, and briefly discusses the effects of two parameters on the network dynamics.
متن کاملStructurally 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 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Mathematical Neuroscience
سال: 2011
ISSN: 2190-8567
DOI: 10.1186/2190-8567-1-13