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Stochastic synchronization in nonlinear network systems driven by intrinsic and coupling noise

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Abstract

In this paper, we consider a noisy network of nonlinear systems in the sense that each system is driven by two sources of state-dependent noise: (1) an intrinsic noise that can be generated by the environment or any internal fluctuations and (2) a noisy coupling which is generated by interactions with other systems. Our goal is to understand the effect of noise and coupling on synchronization behaviors of such networks. First, we assume that all the systems are driven by a common noise and show how a common noise can be detrimental or beneficial for network synchronization behavior. Then, we assume that the systems are driven by independent noise and study network approximate synchronization behavior. We numerically illustrate our results using the example of coupled Van der Pol oscillators.

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Acknowledgements

This work was supported in part by Simon Foundations grant 712522, NSF grant IOS-2037828, and ARO grant W911NF-18-1-0325. The authors thank the editor and the anonymous reviewers for their valuable comments and constructive suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of Iowa, Iowa City, IA, USA

    Zahra Aminzare

  2. Electrical and Computer Engineering, Michigan State University, East Lansing, MI, USA

    Vaibhav Srivastava

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  1. Zahra Aminzare
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  2. Vaibhav Srivastava
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Correspondence to Zahra Aminzare.

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Communicated by Jonathan Touboul.

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This article belongs to “special issue Stochastic Oscillators”

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Aminzare, Z., Srivastava, V. Stochastic synchronization in nonlinear network systems driven by intrinsic and coupling noise. Biol Cybern 116, 147–162 (2022). https://doi.org/10.1007/s00422-022-00928-7

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  • DOI: https://doi.org/10.1007/s00422-022-00928-7

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