222 citations · 1.8k across the 48 of their papers we have counts for
5 papers · 1 filter
Master Stability Functions for Coupled Near-Identical Dynamical Systems
Jie Sun, Erik M. Bollt, Takashi Nishikawa
We derive a master stability function (MSF) for synchronization in networks of coupled dynamical systems with small but arbitrary parametric variations. Analogous to the MSF for id…
Synchronization Stability of Coupled Near-Identical Oscillator Network
Jie Sun, Erik M. Bollt, Takashi Nishikawa
We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a…
Dynamic Computation of Network Statistics via Updating Schema
Jie Sun, James P. Bagrow, Erik M. Bollt +1
In this paper we derive an updating scheme for calculating some important network statistics such as degree, clustering coefficient, etc., aiming at reduce the amount of computatio…
Sequence Nets
Jie Sun, Takashi Nishikawa, Daniel ben-Avraham
We study a new class of networks, generated by sequences of letters taken from a finite alphabet consisting of letters (corresponding to types of nodes) and a fixed set of…
Constructing Generalized Synchronization Manifolds by Manifold Equation
Jie Sun, Erik M. Bollt, Takashi Nishikawa
Full understanding of synchronous behavior in coupled dynamical systems beyond the identical case requires an explicit construction of the generalized synchronization manifold, whe…