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Functional control of oscillator networks

Author

Listed:
  • Tommaso Menara

    (University of California, San Diego)

  • Giacomo Baggio

    (University of Padova)

  • Dani Bassett

    (University of Pennsylvania
    The Santa Fe Institute)

  • Fabio Pasqualetti

    (University of California, Riverside)

Abstract

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable complex functions. Yet, understanding, and ultimately harnessing, the structure-function relationship in oscillator networks remains an outstanding challenge of modern science. Here, we address this challenge by presenting a principled method to prescribe exact and robust functional configurations from local network interactions through optimal tuning of the oscillators’ parameters. To quantify the behavioral synchrony between coupled oscillators, we introduce the notion of functional pattern, which encodes the pairwise relationships between the oscillators’ phases. Our procedure is computationally efficient and provably correct, accounts for constrained interaction types, and allows to concurrently assign multiple desired functional patterns. Further, we derive algebraic and graph-theoretic conditions to guarantee the feasibility and stability of target functional patterns. These conditions provide an interpretable mapping between the structural constraints and their functional implications in oscillator networks. As a proof of concept, we apply the proposed method to replicate empirically recorded functional relationships from cortical oscillations in a human brain, and to redistribute the active power flow in different models of electrical grids.

Suggested Citation

  • Tommaso Menara & Giacomo Baggio & Dani Bassett & Fabio Pasqualetti, 2022. "Functional control of oscillator networks," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
  • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-31733-2
    DOI: 10.1038/s41467-022-31733-2
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    References listed on IDEAS

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    1. Louis M. Pecora & Francesco Sorrentino & Aaron M. Hagerstrom & Thomas E. Murphy & Rajarshi Roy, 2014. "Cluster synchronization and isolated desynchronization in complex networks with symmetries," Nature Communications, Nature, vol. 5(1), pages 1-8, September.
    2. Adrián Ponce-Alvarez & Gustavo Deco & Patric Hagmann & Gian Luca Romani & Dante Mantini & Maurizio Corbetta, 2015. "Resting-State Temporal Synchronization Networks Emerge from Connectivity Topology and Heterogeneity," PLOS Computational Biology, Public Library of Science, vol. 11(2), pages 1-23, February.
    3. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    4. Frank Hellmann & Paul Schultz & Patrycja Jaros & Roman Levchenko & Tomasz Kapitaniak & Jürgen Kurths & Yuri Maistrenko, 2020. "Network-induced multistability through lossy coupling and exotic solitary states," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    5. Christoph Kirst & Marc Timme & Demian Battaglia, 2016. "Dynamic information routing in complex networks," Nature Communications, Nature, vol. 7(1), pages 1-9, April.
    6. Shehzaad Kaka & Matthew R. Pufall & William H. Rippard & Thomas J. Silva & Stephen E. Russek & Jordan A. Katine, 2005. "Mutual phase-locking of microwave spin torque nano-oscillators," Nature, Nature, vol. 437(7057), pages 389-392, September.
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