Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics

Homeostasis, singularities, and networks

(2016) Martin Golubitsky et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Symmetry types and phase-shift synchrony in networks

(2016) Martin Golubitsky et al.   PHYSICA D-NONLINEAR PHENOMENA

Network Symmetry and Binocular Rivalry Experiments

(2014) Casey O Diekman et al.   Journal of Mathematical Neuroscience

Computation of Balanced Equivalence Relations and Their Lattice for a Coupled Cell Network

(2013) Hiroko Kamei et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Derived Patterns in Binocular Rivalry Networks

(2013) Casey O Diekman et al.   Journal of Mathematical Neuroscience

Network periodic solutions: patterns of phase-shift synchrony

(2012) Martin Golubitsky et al.   NONLINEARITY

Reduction and Dynamics of a Generalized Rivalry Network with Two Learned Patterns

(2012) Casey Diekman et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Mesoscale and clusters of synchrony in networks of bursting neurons

(2011) Igor Belykh et al.   CHAOS

Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 1: 1-Dimensional Cells

(2011) Ian Stewart et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Network periodic solutions: full oscillation and rigid synchrony

(2010) Martin Golubitsky et al.   NONLINEARITY

A partial synchronization theorem

(2008) Alexander Yu. Pogromsky   CHAOS

Periodic dynamics of coupled cell networks II: cyclic symmetry

(2008) Ian Stewart et al.   DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL

A POLYNOMIAL TIME ALGORITHM TO DETERMINE MAXIMAL BALANCED EQUIVALENCE RELATIONS

(2008) JOHN W. ALDIS   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS