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BIBO stability of continuous and discrete -time systems

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Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography
06:40

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Published on: June 15, 2018

Complexity and synchronization.

Malgorzata Turalska1, Mirko Lukovic, Bruce J West

  • 1Center for Nonlinear Science, University of North Texas, Denton, Texas 76203-1427, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

Cooperative decision-making in networks becomes intermittent with finite nodes. Increasing network size N extends consensus, while partitioning networks converts fat tails to power laws.

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Area of Science:

  • Complex Systems
  • Statistical Physics
  • Network Science

Background:

  • Cooperative decision-making models often assume infinite populations.
  • Understanding intermittent dynamics and consensus in finite networks is crucial.

Purpose of the Study:

  • To model cooperative decision-making in a finite network of interacting units.
  • To analyze the intermittent dynamics and consensus properties of the system.
  • To investigate information transmission between cooperative networks.

Main Methods:

  • Modeling a fully connected network of interacting two-state units.
  • Analyzing decision-time distribution and global variable dynamics.
  • Utilizing theoretical and numerical arguments, including particle motion in a double-well potential.

Main Results:

  • Finite networks exhibit intermittent decision-making with power-law and exponential truncation.
  • Perfect consensus emerges with increasing network size N due to extended fat tails.
  • Partial consensus transmission occurs between cooperative networks; partitioning networks alters tail behavior.

Conclusions:

  • Network size and partitioning significantly influence decision-making dynamics and consensus.
  • The Kramers fat tail, driven by time spent in potential wells, causes strong ergodicity breakdown.
  • Network self-organization is a prerequisite for effective inter-network information transmission.