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Related Experiment Video

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Fabrication and Testing of Microfluidic Optomechanical Oscillators

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Experimental observations of synchronization between two bidirectionally coupled physically dissimilar oscillators.

Ke Huang¹, Francesco Sorrentino², Mani Hossein-Zadeh¹

¹Center for High Technology Materials, The University of New Mexico, 1313 Goddard Street SE, Albuquerque, New Mexico 87106, USA.

Physical Review. E

|November 20, 2020

Summary

This study explores coupled oscillators, finding phase synchronization in periodic states and generalized chaos synchronization in chaotic states. A linear relationship governs synchronization transitions in periodic systems.

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Area of Science:

Complex Systems
Nonlinear Dynamics
Experimental Physics

Background:

Coupled oscillators exhibit complex emergent behaviors.
Understanding synchronization in dissimilar systems is crucial for various applications.

Purpose of the Study:

To experimentally investigate synchronization phenomena in mutually coupled, physically dissimilar oscillators.
To characterize phase synchronization and generalized chaos synchronization under different initial conditions.

Main Methods:

Coupling an optoelectronic oscillator with a Colpitts oscillator using optical power and electrical voltage.
Experimentally inducing periodic and chaotic oscillations in individual oscillators prior to coupling.
Analyzing system dynamics to identify synchronization regimes and transitions.

Main Results:

Phase synchronization was observed when oscillators were initially set to periodic oscillations.
Generalized chaos synchronization emerged when oscillators were initially set to chaotic states.
A linear relationship between coupling strengths determined the transition to synchronization in the periodic regime.
A transition from hyperchaos to chaos marked the onset of generalized synchronization in the chaotic regime.

Conclusions:

The study demonstrates distinct synchronization behaviors (phase vs. generalized chaos) based on initial oscillator states.
The findings reveal predictable transitions to synchronization in coupled chaotic systems.
This research contributes to the understanding of complex dynamics in hybrid coupled oscillator systems.