Coarse-Grained Descriptions of Dynamics for Networks with Both Intrinsic and Structural Heterogeneities

Travelling waves in arrays of delay-coupled phase oscillators

(2016) Carlo R. Laing   CHAOS

Dimension reduction in heterogeneous neural networks: Generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA)

(2016) M. Choi et al.   European Physical Journal-Special Topics

Data-Driven Reduction for a Class of Multiscale Fast-Slow Stochastic Dynamical Systems

(2016) Carmeline J. Dsilva et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience

(2016) Peter Ashwin et al.   Journal of Mathematical Neuroscience

Coarse-Grained Clustering Dynamics of Heterogeneously Coupled Neurons

(2015) Sung Joon Moon et al.   Journal of Mathematical Neuroscience

Synchronization in complex networks of phase oscillators: A survey

(2014) Florian Dörfler et al.   AUTOMATICA

Chimeras in random non-complete networks of phase oscillators

(2012) Carlo R. Laing et al.   CHAOS

Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold

(2012) Antonios Zagaris et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion

(2012) S. Oladyshkin et al.   RELIABILITY ENGINEERING & SYSTEM SAFETY

Managing heterogeneity in the study of neural oscillator dynamics

(2012) Carlo R Laing et al.   Journal of Mathematical Neuroscience

Cluster synchrony in systems of coupled phase oscillators with higher-order coupling

(2011) Per Sebastian Skardal et al.   PHYSICAL REVIEW E

Coarse graining the dynamics of heterogeneous oscillators in networks with spectral gaps

(2011) Karthikeyan Rajendran et al.   PHYSICAL REVIEW E

A common approach to the computation of coarse-scale steady states and to consistent initialization on a slow manifold

(2010) Christophe Vandekerckhove et al.   COMPUTERS & CHEMICAL ENGINEERING

Long time evolution of phase oscillator systems

(2009) Edward Ott et al.   CHAOS

Equation-Free Multiscale Computation: Algorithms and Applications

(2008) Ioannis G. Kevrekidis et al.   Annual Review of Physical Chemistry

Low dimensional behavior of large systems of globally coupled oscillators

(2008) Edward Ott et al.   CHAOS