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Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
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Phase effects on synchronization by dynamical relaying in delay-coupled systems.

R N Chitra1, V C Kuriakose

  • 1Department of Physics, Cochin University of Science and Technology, Kochi 682022, India. rchitra@cusat.ac.in

Chaos (Woodbury, N.Y.)
|July 12, 2008
PubMed
Summary
This summary is machine-generated.

This study investigates synchronization in coupled Josephson junctions with time delays. Results show how damping, coupling, and time delay influence synchronization dynamics.

Related Experiment Videos

Last Updated: Jul 3, 2026

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
06:04

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Published on: February 14, 2025

Area of Science:

  • Nonlinear Dynamics
  • Condensed Matter Physics
  • Complex Systems

Background:

  • Synchronization is crucial in many physical systems.
  • Time delays can significantly alter system dynamics.
  • Josephson junctions are key models for studying coupled nonlinear oscillators.

Purpose of the Study:

  • To analyze synchronization in mutually coupled Josephson junctions with finite time delays.
  • To understand the impact of system parameters on synchronization stability.
  • To investigate the influence of time delay and frequency detuning on system behavior.

Main Methods:

  • Linearization of equations around the synchronization manifold.
  • Numerical evaluation of the sum of transverse Lyapunov exponents.
  • Systematic variation of damping parameter, coupling constant, and time delay.

Main Results:

  • Synchronization is dependent on damping, coupling strength, and time delay.
  • Time delay and phase differences alter system dynamics.
  • Frequency detuning effects on synchronization were analyzed.

Conclusions:

  • Finite time delays play a critical role in the synchronization of coupled Josephson junctions.
  • Parameter tuning is essential for achieving and maintaining synchronization.
  • The study provides insights into controlling complex system dynamics.