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Using global modeling to unveil hidden couplings in small network motifs
Sylvain Mangiarotti1, Irene Sendiña-Nadal2, Christophe Letellier3
1Centre d'Études Spatiales de la Biosphère, UPS-CNRS-CNES-IRD, Observatoire Midi-Pyrénées, 18 avenue Édouard Belin, 31401 Toulouse, France.
Chaos (Woodbury, N.Y.)
|January 3, 2019
Summary
Global modeling effectively detects links and interaction types in coupled network systems. This method reconstructs system dynamics and single-node equations, even for complex Rössler systems.
Area of Science:
- Network theory
- Complex systems
- Dynamical systems
Background:
- Inferring relationships between interacting elements is crucial in network theory.
- Understanding coupling functions in complex networks remains a challenge.
Purpose of the Study:
- To introduce and validate global modeling as a tool for detecting links and their nature in networks.
- To demonstrate the capability of global modeling in retrieving system dynamics and individual node equations.
Main Methods:
- Investigated small network motifs with fully observable nodes when isolated.
- Applied global modeling to diffusively coupled Rössler systems in various configurations (couple, network, parametric forcing).
Main Results:
- Global modeling successfully identified the existence and functional form of interactions between nodes.
- The method accurately retrieved the overall system dynamics.
- Single-node dynamics equations were extracted as if nodes were isolated.
Conclusions:
- Global modeling is a powerful technique for network analysis, revealing interaction structures and dynamics.
- This approach facilitates the understanding of complex coupled systems, including Rössler oscillators.
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