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International Conference of Artificial Intelligence, Medical Engineering, Education

AIMEE 2019: Advances in Artificial Systems for Medicine and Education III pp 43–54Cite as

Analysis of Oscillator Behavior Under Multi-frequency Excitation for Oscillatory Neural Networks

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1126))

Abstract

Problems of the oscillator behavior under quasiperiodic multi-frequency excitation are considered in the paper. The new concept of the multi-frequency synchronization is proposed as the natural extension of the traditional synchronization concept for the periodically excited oscillator. Derived analytical expressions and performed simulation examples demonstrate the consistency of the proposed concept. The investigations are based on the modified Kuramoto model of a single oscillator under a narrowband quasiperiodic excitation. Analytical results are obtained by multiple timescales methods.

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Acknowledgements

The reported study was funded by RFBR, project number 19-29-03012.

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Authors and Affiliations

  1. Institute for Design Problems in Microelectronics of Russian Academy of Sciences (IPPM RAS), Moscow, Russia

    M. M. Gourary & S. G. Rusakov

Authors
  1. M. M. Gourary
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  2. S. G. Rusakov
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Corresponding author

Correspondence to M. M. Gourary .

Editor information

Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, Hubei, China

    Zhengbing Hu

  2. Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. Halmos College of Natural Sciences and Oceanography, Nova Southeastern University, Davie, FL, USA

    Matthew He

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Gourary, M.M., Rusakov, S.G. (2020). Analysis of Oscillator Behavior Under Multi-frequency Excitation for Oscillatory Neural Networks. In: Hu, Z., Petoukhov, S., He, M. (eds) Advances in Artificial Systems for Medicine and Education III. AIMEE 2019. Advances in Intelligent Systems and Computing, vol 1126. Springer, Cham. https://doi.org/10.1007/978-3-030-39162-1_5

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