Zero-Lag Synchronization of Bidirectionally Coupled Chaotic Oscillators with Delay

Autores/as

  • Lucas M. C. Branco Universidade Federal Rural de Pernambuco (UFRPE)
  • Guilherme Saatman
  • Amanda S. Paula Universidade Federal Rural de Pernambuco (UFRPE)
  • Martine Chevrollier Universidade Federal Rural de Pernambuco (UFRPE)
  • Sérgio V. Barreiro
  • Marcos Oriá

Palabras clave:

Synchronization, Chaotic Oscillators, Zero-Lag, Neural Networks, Colpitts Oscillators

Resumen

Synchronization is an important phenomenon in fields of science such as physics, biology, and engineering, whereby the mutual coupling of oscillators gives rise to collective dynamic behavior. This behavior is key to understanding complex neural networks (NN). For example, studies suggest that, underlying cognitive activities, synchronization of distant cortical regions occurs in the brain. Synchronization may occur without delay, overcoming the physical distance between the synchronized regions, and is then called zero-lag synchronization. For a comprehensive analysis, different types of coupling, mechanisms, and complex architectures of NN need to be considered. Here, we investigate the behavior of this configuration using electronic Colpitts oscillators, whose dynamics is easily controlled through the oscillator current, allowing operation in different regimes, particularly chaotic ones.

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Citas

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G. M. Maggio et al. “Nonlinear analysis of the Colpitts oscillator and applications to design”. In: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 46.9 (1999), pp. 1118–1130. doi: 10.1109/81.788813.

V. Flunkert. Delay-coupled complex systems and applications to lasers. Springer Science & Business Media, 2011. doi: 10.1007/978-3-642-20250-6.

S. Boccaletti et al. “The synchronization of chaotic systems”. In: Physics Reports 366.1-2 (2002), pp. 1–101. doi: 10.1016/S0370-1573(02)00137-0.

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Publicado

2025-01-20

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