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Related Concept Videos

Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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Updated: Jun 27, 2026

Rewiring Neuronal Circuits: A New Method for Fast Neurite Extension and Functional Neuronal Connection
10:26

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Published on: June 13, 2017

Efficient rewirings for enhancing synchronizability of dynamical networks.

Ali Ajdari Rad1, Mahdi Jalili, Martin Hasler

  • 1Ecole Polytechnique Fédérale de Lausanne, Laboratory of Nonlinear Systems, School of Computer and Communication Science, CH1015 Lausanne, Switzerland. ali.ajdarirad@epfl.ch

Chaos (Woodbury, N.Y.)
|December 3, 2008
PubMed
Summary

We developed an algorithm to improve network synchronizability through iterative edge rewiring. This method enhances network synchronization efficiently, producing homogeneous networks like Ramanujan graphs.

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Area of Science:

  • Network Science
  • Dynamical Systems
  • Graph Theory

Background:

  • Complex dynamical networks are crucial in various scientific fields.
  • Optimizing network synchronizability is key for efficient information flow and system coherence.
  • Existing methods may lack efficiency or generalizability across different network types.

Purpose of the Study:

  • To present a novel algorithm for optimizing the synchronizability of complex dynamical networks.
  • To demonstrate the algorithm's effectiveness in enhancing synchronizability regardless of initial network topology.
  • To explore the resulting network properties and their relationship to synchronizability.

Main Methods:

  • An iterative edge rewiring algorithm is employed, avoiding self-loops and multiple edges.
  • Simulated annealing is used for numerical simulations to guide the optimization process.
  • The eigenratio of the Laplacian is used as the primary target function for optimization.

Main Results:

  • The algorithm significantly enhances network synchronizability in a number of steps scaling with network size.
  • Optimized networks exhibit homogeneous distributions of key topological properties like node degree and betweenness centrality.
  • The rewiring process leads to networks with minimized maximum node and edge betweenness centralities.

Conclusions:

  • The proposed rewiring algorithm effectively optimizes network synchronizability across diverse initial network structures.
  • The resulting homogeneous networks possess desirable synchronization properties, aligning with different interpretations of synchronizability.
  • This method provides a pathway to generate Ramanujan graphs of any size and average degree.