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Global interactions, information flow, and chaos synchronization.

G Paredes1, O Alvarez-Llamoza, M G Cosenza

  • 1LFAC, Universidad Nacional Experimental del Táchira, San Cristóbal, Venezuela.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 16, 2013
PubMed
Summary
This summary is machine-generated.

Chaos synchronization in dynamical systems can emerge even without a uniform global field, using information flow analysis. Information transfer predicts synchronization, regardless of field homogeneity or origin.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Information Theory

Background:

  • Investigating chaos synchronization in dynamical systems with global interactions.
  • Understanding information flow in driven and autonomous systems.

Purpose of the Study:

  • To explore the relationship between chaos synchronization and information flow.
  • To determine if homogeneous global fields are essential for synchronization.
  • To characterize synchronization using information-theoretic measures.

Main Methods:

  • Employing general models of coupled chaotic maps.
  • Utilizing normalized mutual information to quantify synchronization.
  • Measuring information transfer between global and local variables.

Main Results:

  • Complete synchronization can occur with heterogeneous global fields.
  • Homogeneous global fields are not indispensable for synchronization.
  • Information measures effectively characterize synchronization states and field origins.
  • Synchronization emerges when sufficient information is shared among system elements.

Conclusions:

  • Synchronization is achievable without simultaneous field sharing by all elements.
  • Information transfer serves as a predictor for synchronization.
  • The origin of global interaction fields can be discerned using information measures.