DSWeb Dynamical Systems Software aims to collect all available software on dynamical systems theory. This project was originally launched during the special year Emerging Applications of Dynamical Systems, 1997/1998, at the Institute for Mathematics and its Applications. The information here includes functionality, platforms, languages, references, and contacts.

Please note that DSWeb is not responsible for any direct, indirect, special, incidental, or consequential damages arising from the use of the content provided here.

ARNI: Algorithm for Revealing Network Interactions

Runner-up - DSWeb 2018 Software Contest

Print
ARNI: Algorithm for Revealing Network Interactions

Relying only on nonlinear collective dynamics, our Algorithm for Revealing Network Interactions (ARNI) reveals the interaction topology of networks without neither assuming specific dynamic models to be known in advance nor assuming the dynamics admits sparse representations, nor imposing controlled drivings on the network. Furthermore, ARNI works reliably across many dynamical regimes, including transient dynamics toward steady states, periodic and non-periodic dynamics, and chaos. Together with its capabilities to reveal network (two point) as well as hyper-network (e.g., three point) interactions, this framework may thus open up nonlinear dynamics options of inferring direct interaction patterns across systems where no model is known.

We provide example codes and functions in MATLAB for reconstructing different models of network dynamical systems exhibiting diverse dynamical regimes such as transient dynamics towards steady state, non-periodic dynamics and chaos.

Concerning the models employed for simulating the time series, we employ (i) two different models for phase-coupled oscillators differing in complexity, (ii) a model mimicking the transient dynamics of gene circuits, and (iii) coupled-Roessler oscillators operating in a chaotic regime.

Installation consists in extracting the entire zip file ARNI_Matlab.zip in a local folder. Running the examples is as simple as running the corresponding .m files.

Further documentation may also be found in Casadiego et al., Nature Communications 8 (2017).

Keywordsnetwork inference, time series analysis
Model
  • ODEs
  • Time Series
  • Other
Software Type
  • Library
Language
  • MatLab
Platform
  • Unix
  • Linux
  • Windows
  • MacOS
Contact Person
References to Papers

Documents to download

Categories: Software
Tags:

Please login or register to post comments.

Name:
Email:
Subject:
Message:
x

Software Search