Spatiotemporal Dynamics of 100 Coupled Lorenz Oscillators: A Comprehensive Analysis of Chaotic Pattern Formation

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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 : 12 | 01 | Page :
    By

    Swaati Saandhya,

  • Debarati Ghosh,

  • Prof. A. K. Bhaskar,

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

Abstract

Chaotic Lorenz systems that interact with one another, resulting in the generation of complex space-time patterns that evolve over time. This comprehensive analysis presents a detailed investigation of spatiotemporal chaos in a network of 100 coupled Lorenz oscillators, revealing the complex interplay between individual chaotic dynamics and collective behavior in nonlinear dynamical systems. Through numerical simulation and extensive analysis, we examine how coupling transforms individual butterfly attractors into rich spatiotemporal patterns that exhibit both chaotic and wave-like characteristics. Additionally, the research investigates how the emergence of synchronization, clustering, and pattern formation throughout the oscillator network is affected by coupling strength, network topology, and initial conditions. Advanced visualization techniques are utilized to capture the development of spatial structures over time, offering a deeper understanding of the transition between ordered and disordered states. The findings illustrate that weak coupling maintains local chaotic behavior, whereas stronger coupling results in partial or complete synchronization, resulting in coherent wave propagation and collective oscillations. Moreover, the extent of chaos and coherence in the system is characterized by quantitative 2 measures such as Lyapunov exponents and correlation functions. This study aids in the comprehension of high-dimensional chaotic systems and their uses in physics, engineering, and complex network analysis, providing possible routes for managing and utilizing chaos in actual systems.

Keywords: Chaos, Coupled Oscillators, Lorenz System, Pattern Formation, Spatiotemporal Dynamics

How to cite this article:
Swaati Saandhya, Debarati Ghosh, Prof. A. K. Bhaskar. Spatiotemporal Dynamics of 100 Coupled Lorenz Oscillators: A Comprehensive Analysis of Chaotic Pattern Formation. International Journal of Embedded Systems and Emerging Technologies. 2026; 12(01):-.
How to cite this URL:
Swaati Saandhya, Debarati Ghosh, Prof. A. K. Bhaskar. Spatiotemporal Dynamics of 100 Coupled Lorenz Oscillators: A Comprehensive Analysis of Chaotic Pattern Formation. International Journal of Embedded Systems and Emerging Technologies. 2026; 12(01):-. Available from: https://journals.stmjournals.com/ijeset/article=2026/view=240161


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Ahead of Print Subscription Review Article
Volume 12
01
Received 24/03/2026
Accepted 31/03/2026
Published 16/04/2026
Publication Time 23 Days
1

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