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Synchronizations in Complex Systems Dynamics Through a Multifractal Procedure.

Vlad Ghizdovat1, Diana Carmen Mirila2, Florin Nedeff2

  • 1Biophysics and Medical Physics Department, "Grigore T. Popa" University of Medicine and Pharmacy, 700115 Iasi, Romania.

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|June 26, 2025
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Summary
This summary is machine-generated.

Complex systems synchronize through multifractal dynamics, balancing motion across scales. This research uses scale relativity and multifractal theory to explain and predict synchronized behaviors in various applications.

Keywords:
Schrödinger multifractal scenariocomplex systems dynamicsmultifractal theory of motionscale relativity theorysynchronizations

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Area of Science:

  • Complex Systems Dynamics
  • Scale Relativity Theory
  • Multifractal Analysis

Background:

  • Complex systems often display multifractal properties.
  • Interactions across different scales are crucial for system evolution.

Purpose of the Study:

  • To explore synchronization phenomena in complex systems.
  • To apply the Multifractal Theory of Motion within scale relativity.

Main Methods:

  • Utilizing the Multifractal Theory of Motion.
  • Applying scale relativity theory.
  • Describing system motion with multifractal Schrödinger-type equations.

Main Results:

  • Synchronization emerges from a balance of multifractal acceleration, convection, and dissipation.
  • System behavior is structured yet adaptive across scales.
  • Multifractal analysis offers a new perspective on deterministic and stochastic behaviors.

Conclusions:

  • Multifractal analysis can predict and control synchronized dynamics.
  • Findings have potential applications in real-world scenarios.