Chaos synchronization, a phenomenon rooted in nonlinear dynamics, refers to the ability of chaotic systems to achieve coordinated behavior despite their intrinsic unpredictability. In this research, we present a comparative analysis of synchronization efficiency among four chaotic systems: the Rössler, Lorenz, Chen, and Sprott attractors. A Python script was developed to synchronize the selected attractors. The script was executed multiple times on two different computers, and efficiency-related measurements were recorded in CSV files for further statistical analysis. Our results suggest superior synchronization efficiency with the Lorenz or Sprott attractors, partially corroborating previous findings. This research provides guidance for the design and implementation of synchronization-based systems such as secure communications.

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A Comparative Study of Synchronization Efficiency of Rössler, Lorenz, Chen and Sprott Attractors

  • Omar S. Gómez,
  • Raúl H. Rosero,
  • Danilo Pástor,
  • Maricela Jiménez-Rodríguez

摘要

Chaos synchronization, a phenomenon rooted in nonlinear dynamics, refers to the ability of chaotic systems to achieve coordinated behavior despite their intrinsic unpredictability. In this research, we present a comparative analysis of synchronization efficiency among four chaotic systems: the Rössler, Lorenz, Chen, and Sprott attractors. A Python script was developed to synchronize the selected attractors. The script was executed multiple times on two different computers, and efficiency-related measurements were recorded in CSV files for further statistical analysis. Our results suggest superior synchronization efficiency with the Lorenz or Sprott attractors, partially corroborating previous findings. This research provides guidance for the design and implementation of synchronization-based systems such as secure communications.