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Mutual information rate and bounds for it.

Murilo S Baptista1, Rero M Rubinger, Emilson R Viana

  • 1Institute for Complex Systems and Mathematical Biology, Scottish Universities Physics Alliance, University of Aberdeen, Aberdeen, United Kingdom.

Plos One
|November 1, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a new method to calculate the mutual information rate (MIR) in dynamical systems, bypassing probability calculations. This approach offers bounds for information exchange in complex networks and time series analysis.

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Area of Science:

  • Complex Systems Analysis
  • Information Theory
  • Dynamical Systems

Background:

  • Mutual Information Rate (MIR) quantifies information exchange in complex systems.
  • Traditional MIR calculation requires probability distributions, limiting its use in deterministic systems.
  • Existing methods struggle with non-random or deterministic data.

Purpose of the Study:

  • To develop a novel method for calculating MIR in dynamical networks and time series.
  • To establish upper and lower bounds for MIR without probability estimation.
  • To explore applications in synchronization and information exchange within coupled systems.

Main Methods:

  • Calculating MIR using well-defined dynamical system quantities.
  • Deriving bounds for MIR based on system dynamics.
  • Analyzing information flow in coupled map lattices and oscillator networks.

Main Results:

  • A simplified approach to MIR calculation for deterministic and non-fully deterministic systems.
  • Successfully computed upper and lower bounds for information exchange.
  • Demonstrated the utility of the bounds in studying synchronization phenomena.

Conclusions:

  • The proposed method provides a practical alternative for MIR assessment in dynamical systems.
  • The derived bounds offer valuable insights into information transfer and synchronization.
  • This work advances the analysis of information dynamics in complex networks.