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Dynamics of Large Rings of Coupled Van der Pol Oscillators

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Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering

Abstract

The dynamic behavior and synchronization of a large ring of mutually coupled Van der Pol oscillators is studied by extending a methodology previouly reported by another authors, in which the original equations are linearized around the unperturbed limit cycle. The linearized equations are trasformed into Hill’s equations and from here conditions for stability and synchronization are derived. Numerical simulations corroborate the validity of the stability analysis for a ring of 10000 van der Pol oscillators.

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Author information

Authors and Affiliations

  1. Departamento de Materiales, Universidad Autonoma Metropolitana Azcapotzalco, Av. San Pablo 180, Col.Reynosa-Tamaulipas, D.F, 02200 Mexico

    M.A. Barron

  2. Aerospace and Mechanical Engineering Department, University of Notre Dame, 365 Fitzpatrick Hall, Notre Dame, IN 46556-5637

    M. Sen & E. Corona

Authors
  1. M.A. Barron
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  2. M. Sen
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  3. E. Corona
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Editor information

Editors and Affiliations

  1. University of Bridgeport, School of Engineering, 221 University Avenue, Bridgeport, CT 06604, USA

    Khaled Elleithy (Prof.) (Prof.)

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Barron, M., Sen, M., Corona, E. (2008). Dynamics of Large Rings of Coupled Van der Pol Oscillators. In: Elleithy, K. (eds) Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8735-6_65

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  • DOI: https://doi.org/10.1007/978-1-4020-8735-6_65

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-8734-9

  • Online ISBN: 978-1-4020-8735-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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