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Related Experiment Video

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Multifunctional Setup for Studying Human Motor Control Using Transcranial Magnetic Stimulation, Electromyography, Motion Capture, and Virtual Reality

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Control of transient synchronization with external stimuli.

Marzena Ciszak¹, Alberto Montina, F Tito Arecchi

¹CNR-Istituto Nazionale di Ottica Applicata, Firenze, Italy.

Chaos (Woodbury, N.Y.)

|April 2, 2009

Summary

Networks of chaotic oscillators can achieve synchronization. Stimulating a single node in a network with coexisting states can trigger collective synchronization, controllable using entropy measures.

Area of Science:

Complex systems
Nonlinear dynamics
Network science

Background:

Coupled chaotic oscillators exhibit spontaneous synchronization above a critical coupling strength.
Networks with coexisting quiescence and chaotic spiking states present unique dynamical behaviors.

Purpose of the Study:

To investigate the emergence of collective synchronization in response to external stimuli in locally coupled networks.
To elucidate the mechanisms underlying stimulus-induced synchronization.
To introduce a novel method for controlling transient synchronization.

Main Methods:

Utilizing a network of coupled chaotic oscillators with distinct coexisting states.
Applying a single-node stimulus below the critical coupling threshold.

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Analyzing network dynamics using entropy as a collective indicator.

Main Results:

A single-node stimulus can induce collective excitable or bistable synchronization states.
The observed phenomenon results from the interplay between individual node dynamics and network topology.
Entropy effectively quantifies and controls transient synchronization.

Conclusions:

Stimulus-induced synchronization is achievable in networks with specific dynamical properties and coupling structures.
The findings offer insights into controlling complex network behaviors.
Entropy-based control provides a novel approach for managing transient synchronization in chaotic systems.