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Coupled Oscillator systems for Microwave Applications: Optimized Design Based on the Study and Control of the Multiple Coexisting Solutions in Systems with Symmetry

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Recent Advances in Nonlinear Dynamics and Synchronization

Part of the book series: Studies in Computational Intelligence ((SCI,volume 254))

Abstract

Coupled oscillator arrays have attracted a lot of attention due to their intrinsic synchronization properties that make them suitable for a wide range of microwave and radiofrequency applications. Characteristic applications of such arrays are phase shifters and high frequency generation. Their design however is complicated by their nonlinear nature, which, combined with the symmetry properties of these architectures leads to a rich dynamic behavior consisting of multiple operating modes and complicated stability considerations. This work focuses on linear coupled oscillator arrays for beam steering applications, and N-push oscillator topologies for high frequency generation. Both architectures are examined from the point of view of identifying multiple coexisting solutions and their stability. Practical examples are provided.

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Authors and Affiliations

  1. Centre Tecnologic de Telecomunicacions de Catalunya, Av. Canal Olimpic, 08860, Castelldefels, Barcelona, Spain

    Ana Collado & Apostolos Georgiadis

Authors
  1. Ana Collado
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  2. Apostolos Georgiadis
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Editors and Affiliations

  1. Institute for Smart-Systems Technologies, Alpen-Adria Universität Klagenfurt , Universitätsstraße 65-67, 9020, Klagenfurt, Austria

    Kyandoghere Kyamakya  & Jean Chamberlain Chedjou  & 

  2. Lehrgebiet Informationstechnik, FernUniversität in Hagen , Universitätsstraße 27 - PRG, 58097, Hagen, Germany

    Wolfgang A. Halang  & Zhong Li  & 

  3. Lehrgebiet Kommunikationsnetze, FernUniversität in Hagen , Universitätsstraße 27 - PRG, 58097, Hagen, Germany

    Herwig Unger

  4. Institute for Nonlinear Science, University of California, San Diego , 9500 Gilman Drive, 92093-0402, La Jolla, CA, USA

    Nikolai F. Rulkov

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Collado, A., Georgiadis, A. (2009). Coupled Oscillator systems for Microwave Applications: Optimized Design Based on the Study and Control of the Multiple Coexisting Solutions in Systems with Symmetry. In: Kyamakya, K., Halang, W.A., Unger, H., Chedjou, J.C., Rulkov, N.F., Li, Z. (eds) Recent Advances in Nonlinear Dynamics and Synchronization. Studies in Computational Intelligence, vol 254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04227-0_12

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  • DOI: https://doi.org/10.1007/978-3-642-04227-0_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04226-3

  • Online ISBN: 978-3-642-04227-0

  • eBook Packages: EngineeringEngineering (R0)

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