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Enhancing synchrony in chaotic oscillators by dynamic relaying.

Ranjib Banerjee¹, Dibakar Ghosh, E Padmanaban

¹Department of Mathematics, Gargi Memorial Institute of Technology, Kolkata, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 3, 2012

Summary

This summary is machine-generated.

Introducing parameter mismatch in inner coupled oscillators lowers the synchronization threshold for outer identical oscillators. This dynamic relaying effect enhances critical coupling, confirmed in chaotic systems and electronic circuits.

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Area of Science:

Nonlinear dynamics
Complex systems
Synchronization phenomena

Background:

Coupled oscillators are fundamental to many natural and engineered systems.
Synchronization in coupled oscillator chains is a key phenomenon.
Understanding factors influencing synchronization thresholds is crucial for system design.

Purpose of the Study:

To investigate the effect of parameter mismatch (impurity) in inner coupled oscillators on the synchronization threshold of outer identical oscillators.
To explore the mechanism of indirect dynamic relaying in mediating synchronization.
To experimentally verify the predicted enhancing effect of critical coupling.

Main Methods:

Theoretical analysis of coupled oscillator chains.
Numerical simulations using chaotic systems like the Lorenz and Rössler systems.
Inclusion of delay coupling in the Mackey-Glass system.
Experimental validation using electronic circuits of Rössler oscillators.

Main Results:

A decrease in the coupling threshold for synchronization between outermost oscillators was observed when inner oscillators had parameter mismatch.
Indirect dynamic relaying mediated by inner oscillators enhances the critical coupling threshold.
The enhancing effect was confirmed across different chaotic systems and coupling configurations (with and without delay).
Experimental verification confirmed the theoretical findings in a physical system.

Conclusions:

Parameter mismatch in inner coupled oscillators can unexpectedly enhance synchronization between outer oscillators.
Dynamic relaying is a significant mechanism for controlling synchronization in complex oscillator networks.
The findings have implications for designing and controlling synchronization in various coupled systems.