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NetworkDynamics.jl-Composing and simulating complex networks in Julia
Michael Lindner1, Lucas Lincoln1, Fenja Drauschke1
1Potsdam Institute for Climate Impact Research, Telegrafenberg A31, 14473 Potsdam, Germany.
Chaos (Woodbury, N.Y.)
|July 9, 2021
Summary
NetworkDynamics.jl is a Julia package for simulating complex dynamical systems on networks. It offers high performance and advanced features for scientific computing.
Area of Science:
- Computational science and applied mathematics.
Background:
- Simulating complex dynamical systems on networks is crucial in various scientific fields.
- Existing tools may lack efficiency or comprehensive features for heterogeneous systems.
Purpose of the Study:
- To introduce NetworkDynamics.jl, a Julia package designed for efficient simulation of heterogeneous dynamical systems on complex networks.
- To provide a user-friendly and high-performance tool for researchers in network dynamics.
Main Methods:
- Leverages Julia's high-performance capabilities and integrates with DifferentialEquations.jl solvers.
- Employs efficient data structures for handling complex network topologies.
- Supports advanced simulation features including events, algebraic constraints, time delays, noise, and automatic differentiation.
Main Results:
- Achieves top computational performance in simulating heterogeneous dynamical systems.
- Offers a versatile platform supporting a wide range of advanced simulation functionalities.
- Demonstrates ease of use for researchers in the field of network dynamics.
Conclusions:
- NetworkDynamics.jl provides a powerful and efficient solution for simulating complex network dynamics.
- The package's advanced features and performance make it a valuable tool for scientific research and discovery.
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