Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs

Partially coherent twisted states in arrays of coupled phase oscillators

(2014) Oleh E. Omel'chenko et al.   CHAOS

The Nonlinear Heat Equation on Dense Graphs and Graph Limits

(2014) Georgi S. Medvedev   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

The Nonlinear Heat Equation on W-Random Graphs

(2013) Georgi S. Medvedev   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Coherence–incoherence patterns in a ring of non-locally coupled phase oscillators

(2013) O E Omel'chenko   NONLINEARITY

Small-world networks of Kuramoto oscillators

(2013) Georgi S. Medvedev   PHYSICA D-NONLINEAR PHENOMENA

Multistability of twisted states in non-locally coupled Kuramoto-type models

(2012) Taras Girnyk et al.   CHAOS

Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model

(2012) Jared C. Bronski et al.   CHAOS

The Geometry of Spontaneous Spiking in Neuronal Networks

(2012) Georgi S. Medvedev et al.   JOURNAL OF NONLINEAR SCIENCE

Stochastic Stability of Continuous Time Consensus Protocols

(2012) Georgi S. Medvedev   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators

(2012) Florian Dörfler et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Spectral properties of chimera states

(2011) M. Wolfrum et al.   CHAOS

Spatiotemporal dynamics of continuum neural fields

(2011) Paul C Bressloff   Journal of Physics A-Mathematical and Theoretical

Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing

(2008) C. Borgs et al.   ADVANCES IN MATHEMATICS