Synchronizing Chaos with Imperfections

Yoshiki Sugitani, Yuanzhao Zhang, and Adilson E. Motter
Phys. Rev. Lett. 126, 164101 – Published 20 April 2021
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Abstract

Previous research on nonlinear oscillator networks has shown that chaos synchronization is attainable for identical oscillators but deteriorates in the presence of parameter mismatches. Here, we identify regimes for which the opposite occurs and show that oscillator heterogeneity can synchronize chaos for conditions under which identical oscillators cannot. This effect is not limited to small mismatches and is observed for random oscillator heterogeneity on both homogeneous and heterogeneous network structures. The results are demonstrated experimentally using networks of Chua’s oscillators and are further supported by numerical simulations and theoretical analysis. In particular, we propose a general mechanism based on heterogeneity-induced mode mixing that provides insights into the observed phenomenon. Since individual differences are ubiquitous and often unavoidable in real systems, it follows that such imperfections can be an unexpected source of synchronization stability.

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  • Received 28 May 2020
  • Revised 17 January 2021
  • Accepted 26 February 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.164101

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsNetworks

Authors & Affiliations

Yoshiki Sugitani1,*, Yuanzhao Zhang2,3,†, and Adilson E. Motter2,4,‡

  • 1Department of Electrical and Electronic System Engineering, Ibaraki University, 4-12-1 Nakanarusawa, Hitachi, Ibaraki 316-8511, Japan
  • 2Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA
  • 3Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA
  • 4Northwestern Institute on Complex Systems, Northwestern University, Evanston, Illinois 60208, USA

  • *yoshiki.sugitani.0301@vc.ibaraki.ac.jp
  • yuanzhao@u.northwestern.edu
  • motter@northwestern.edu

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Issue

Vol. 126, Iss. 16 — 23 April 2021

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