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    Experimental verification of projective synchronization

    Madhusmita Panda1,*, Mantra Bhatnagar2,*, Dhruv Wadhwa2, Kumar Sourav1, and Thounaojam Umeshkanta Singh1,†

    • 1Department of Physics, Bennett University, Greater Noida, Uttar Pradesh 201310, India
    • 2Department of Electronics and Communications Engineering, Bennett University, Greater Noida, Uttar Pradesh 201310, India

    • *These authors contributed equally to this work.
    • †Contact author: umeshkanta@gmail.com

    Phys. Rev. E 113, 034212 – Published 11 March, 2026

    DOI: https://doi.org/10.1103/9ghf-pmhl

    Abstract

    Projective synchronization, a form of synchronization in which the state variables of the response system are proportional to those of the drive system via a constant scaling factor, was first predicted theoretically and verified numerically [Phys. Rev. Lett. 82, 3042 (1999)]. Here, we report the experimental realization of projective synchronization using coupled nonlinear electronic circuits based on Sprott oscillators. In the electronic circuit implementation, amplitude scaling emerges between the drive and response systems. The coupling preserves the shape of the chaotic attractor, while intrinsic heterogeneities in the experimental circuits induce switching between in-phase and anti-phase projective synchronization—both of which are the solutions of the system. Our results demonstrate the robustness of projective synchronization in physical hardware and establish a reconfigurable platform for exploring scalable synchronization in chaotic systems. These findings open avenues for potential applications in secure communications and signal processing.

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