Spatiotemporal Analysis of Mean-Field Coupled Lorenz Oscillators for Applications in Electronic Network Design and Chaotic Synchronization

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This is an unedited manuscript accepted for publication and provided as an Article in Press for early access at the author’s request. The article will undergo copyediting, typesetting, and galley proof review before final publication. Please be aware that errors may be identified during production that could affect the content. All legal disclaimers of the journal apply.

Year : 2026 | Volume : 17 | 02 | Page :
    By

    Swaati Saandhya,

  • Debarati Ghosh,

  • Prof. A. K. Bhaskar,

  1. Research Scholar, Department of Physics, Patliputra University, Patna, India
  2. Assistant Professor, Department of Physics, T. P. S. College, Patna, India
  3. Professor, Department of Physics, COCAS, Patna, India

Abstract

This study investigates the spatiotemporal behavior of a network of 100 coupled Lorenz oscillators interacting through mean-field coupling with coupling strength κ = 0.1 and explores its relevance to electronic system design and nonlinear network architectures. While each oscillator follows classical Lorenz dynamics, the coupling mechanism enables collective behavior that resembles synchronization phenomena observed in distributed electronic and communication systems. Numerical simulations reveal rich dynamical characteristics including partial synchronization, emergent clustering, coherent ensemble evolution, and collective attractor formation. The spatiotemporal patterns demonstrate that individual oscillators preserve chaotic fluctuations while developing coordinated macroscopic structures across the network. The ensemble mean trajectory maintains the classical Lorenz attractor geometry, suggesting stable collective organization despite microscopic irregularity. Temporal statistical analysis indicates controlled variance growth and dynamic synchronization transitions, reflecting a balance between coherence and instability. Clustering behavior observed in phase space further highlights the influence of global coupling on network organization and adaptive system behavior. From an electronic design perspective, these findings provide insight into the development of nonlinear oscillator-based architectures, secure communication systems, synchronization control strategies, neuromorphic electronics, and distributed signal processing networks. The results demonstrate that weak mean-field coupling can generate robust collective dynamics while preserving complex nonlinear characteristics, offering potential applications in future electronic and intelligent network systems.

Keywords: Electronic network design; coupled Lorenz oscillators; mean-field coupling; nonlinear electronic systems; chaos synchronization; distributed signal processing; spatiotemporal dynamics; oscillator networks

How to cite this article:
Swaati Saandhya, Debarati Ghosh, Prof. A. K. Bhaskar. Spatiotemporal Analysis of Mean-Field Coupled Lorenz Oscillators for Applications in Electronic Network Design and Chaotic Synchronization. Journal of Electronic Design Technology. 2026; 17(02):-.
How to cite this URL:
Swaati Saandhya, Debarati Ghosh, Prof. A. K. Bhaskar. Spatiotemporal Analysis of Mean-Field Coupled Lorenz Oscillators for Applications in Electronic Network Design and Chaotic Synchronization. Journal of Electronic Design Technology. 2026; 17(02):-. Available from: https://journals.stmjournals.com/joedt/article=2026/view=246783


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Ahead of Print Subscription Review Article
Volume 17
02
Received 05/06/2026
Accepted 12/06/2026
Published 16/06/2026
Publication Time 11 Days
1

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