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Experimental verification of projective synchronization.

Madhusmita Panda¹, Mantra Bhatnagar², Dhruv Wadhwa²

¹Bennett University, Department of Physics, Greater Noida, Uttar Pradesh 201310, India.

Physical Review. E

|April 18, 2026

Summary

This summary is machine-generated.

Researchers experimentally achieved projective synchronization using nonlinear electronic circuits. This synchronization method, where system states are scaled, was demonstrated robustly in hardware, paving the way for secure communications.

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Area of Science:

Nonlinear Dynamics
Chaos Theory
Experimental Physics

Background:

Projective synchronization involves proportional state variables between drive and response systems with a scaling factor.
It was previously established theoretically and numerically.

Purpose of the Study:

To experimentally realize projective synchronization.
To demonstrate its robustness in physical hardware.
To establish a platform for scalable synchronization research.

Main Methods:

Utilized coupled nonlinear electronic circuits based on Sprott oscillators.
Implemented amplitude scaling between drive and response systems.
Observed switching between in-phase and anti-phase synchronization due to circuit heterogeneities.

Main Results:

Successful experimental realization of projective synchronization.
Demonstrated amplitude scaling between chaotic systems.
Confirmed robustness of synchronization in physical circuits.
Observed switching between synchronization states.

Conclusions:

Projective synchronization is achievable and robust in physical electronic circuits.
The experimental setup provides a reconfigurable platform for studying scalable synchronization.
Findings suggest potential applications in secure communications and signal processing.