NetworkDynamics

A package for working with dynamical systems on complex networks. NetworkDynamics.jl provides an interface between Graphs.jl and DifferentialEquations.jl. It allows to define several types of dynamic and static nodes and edges and to link them up in order to create complex network dynamics.

The behavior of a node or an edge can be described by algebraic equations, by differential algebraic equation (DAEs) in mass matrix form, by ordinary differential equations (ODE) or by delay differential equations(DDE). Stochastic ordinary differential equations (SDE) can e.g. be implemented as a two-layer network. For detail see the tutorials section.

Installation

Installation is straightforward with Julia's package manager.

(v1.5) pkg> add NetworkDynamics

PowerDynamics

PowerDynamics.jl is an open-source framework for dynamic power grid modeling and analysis build on top of NetworkDynamics.jl.

Overview

The central construction is the function network_dynamics that receives functions describing the local dynamics on the edges and nodes of a graph g as inputs, and returns a composite function compatible with the DifferentialEquations.jl calling syntax.

nd = network_dynamics(vertices!,  edges!, g)
nd(dx, x, p, t)