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Self-organized transport in noisy dynamic networks.
Frederic Folz1, Kurt Mehlhorn2, Giovanna Morigi1
1Theoretische Physik, <a href="https://ror.org/01jdpyv68">Universität des Saarlandes</a>, 66123 Saarbrücken, Germany.
Physical Review. E
|November 20, 2024
Summary
Noise can help nonlinear networks self-organize into robust structures. Different nonlinear functions and noise levels create unique network behaviors and solutions, highlighting the activation function
Area of Science:
- Complex Networks
- Nonlinear Dynamics
- Network Science
Background:
- Multicommodity transport networks are susceptible to noise and nonlinear dynamics.
- Edge capacities in such networks can fluctuate based on local current.
- Understanding network self-organization is crucial for robust system design.
Purpose of the Study:
- To numerically investigate multicommodity transport in noisy, nonlinear networks.
- To explore how different nonlinear functions influence network self-organization.
- To identify the role of noise in promoting robust network topologies.
Main Methods:
- Numerical simulation of multicommodity flow in nonlinear networks.
- Analysis of network self-organization under varying noise levels.
- Examination of three distinct nonlinear activation functions.
Main Results:
- Noise facilitates self-organization into more robust topologies than noiseless dynamics.
- Specific nonlinear functions lead to continuous or discontinuous responses to demand.
- Network behavior exhibits single or multistable solutions depending on nonlinearity and noise.
Conclusions:
- Noise plays a critical role in network self-organization and topology robustness.
- The choice of activation function significantly impacts noise-assisted phenomena.
- Nonlinear dynamics combined with noise offer pathways to enhanced network resilience.
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