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Computational Capabilities of Adler Oscillators Under Weak Local Kuramoto-Like Coupling

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Progress in Artificial Intelligence and Pattern Recognition (IWAIPR 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14335))

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Abstract

The computational capabilities of coupled nonlinear oscillators in implementing computational systems are discussed. A Kuramoto-type, locally coupled Adler oscillator is analyzed in terms of its emergent behaviours. Despite the local nature of the interactions, the model exhibits a wide range of long-time dynamics, spanning from stationary global phase synchronization (coherence) to more sophisticated long-range long-lived structures. Regions of non-trivial complex behaviour are identified through entropic analysis of space-time diagrams. Computational complexity is discussed regarding entropic measures, and its behaviour in parameter space is studied. Evidence of an enhancement in computational capabilities in the vicinity of highly sensitive regimes points to critical behaviour, which could be further exploited in implementing dedicated computational electronic systems.

Supported by The Alexander von Humboldt Foundation.

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Notes

  1. 1.

    As implemented in GNU Scientific Library (GSL).

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Acknowledgments

The authors thank Alexander von Humboldt Stiftung for financial support and the KIT for a great working environment.

Author information

Authors and Affiliations

  1. Facultad de Física, Universidad de La Habana, San Lazaro y L, 10400, La Habana, Cuba

    K. García Medina & E. Estevez-Rams

  2. Institute of Microstructure Technology, Karlsruhe Institute of Technology, Karlsruhe, Germany

    J. L. Beltrán & D. Kunka

Authors
  1. K. García Medina
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  2. J. L. Beltrán
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  3. E. Estevez-Rams
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  4. D. Kunka
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Corresponding author

Correspondence to J. L. Beltrán .

Editor information

Editors and Affiliations

  1. Universidad de las Ciencias Informáticas, Havana, Cuba

    Yanio Hernández Heredia

  2. Universidad de las Ciencias Informáticas, Havana, Cuba

    Vladimir Milián Núñez

  3. Universidad de las Ciencias Informáticas, Havana, Cuba

    José Ruiz Shulcloper

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García Medina, K., Beltrán, J.L., Estevez-Rams, E., Kunka, D. (2024). Computational Capabilities of Adler Oscillators Under Weak Local Kuramoto-Like Coupling. In: Hernández Heredia, Y., Milián Núñez, V., Ruiz Shulcloper, J. (eds) Progress in Artificial Intelligence and Pattern Recognition. IWAIPR 2023. Lecture Notes in Computer Science, vol 14335. Springer, Cham. https://doi.org/10.1007/978-3-031-49552-6_10

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  • DOI: https://doi.org/10.1007/978-3-031-49552-6_10

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