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Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task

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Direction-dependent noise-induced synchronization in mobile oscillators.

Emilda Shajan¹, Dibakar Ghosh², Jürgen Kurths³

¹Department of Physics, Central University of Rajasthan, Ajmer 305817, Rajasthan, India.

Chaos (Woodbury, N.Y.)

|May 9, 2023

Summary

This summary is machine-generated.

This study introduces a new model for noise-induced synchronization in mobile agents. It shows how direction-dependent noise can lead to synchronization and clustered states in moving oscillators.

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Area of Science:

Complex Systems
Nonlinear Dynamics
Statistical Physics

Background:

Noise-induced synchronization is a phenomenon where uncoupled oscillators synchronize due to common noise.
Previous models typically assumed static oscillators and uniform noise application.
Developing models for selective noise application to fractions of oscillators is crucial.

Purpose of the Study:

To propose a novel mathematical model for noise-induced synchronization in mobile agents.
To investigate the effect of direction-dependent noise on synchronization behaviors.
To explore the emergence of complete synchronization and clustered states.

Main Methods:

Development of a direction-dependent noise field model for mobile oscillators/agents.
Analysis of effective noise as a function of agent's direction of motion.
Simulation and observation of synchronization phenomena under varying noise intensity and agent density.

Main Results:

Complete synchronization of all mobile oscillators observed under specific conditions.
Emergence of clustered states as a function of ensemble density beyond critical noise intensity.
Demonstration that agent mobility and directionality significantly influence synchronization patterns.

Conclusions:

The proposed model successfully explains noise-induced synchronization in mobile agents.
Direction-dependent noise is a key factor in achieving synchronization in dynamic systems.
Agent mobility and density play critical roles in the observed synchronization and clustering behaviors.