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Strategies for Amplitude Control in a Ring of Self-excited Oscillators

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Perspectives in Dynamical Systems II — Numerical and Analytical Approaches (DSTA 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 454))

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Abstract

We study different strategies for amplitude death in a closed loop of mutually coupled limit cycle oscillators in this paper. An improvised generalised shooting and averaged model equations are used to implement the proposed strategies with ease in symmetrical and unsymmetrical models. The consequences of having a dissimilar oscillator and an external controller in an unsymmetrical network are also discussed in more detail. Numerical results show the predominant inphase attractors above a critical nonlinearity and a faster amplitude mitigation at an optimum coupling strength.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Mar Baselios College of Engineering and Technology, Thiruvananthapuram, Kerala, India

    Vinod V.

  2. Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland

    Bipin Balaram

  3. Department of Mechanical Engineering, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India

    Bipin Balaram

Authors
  1. Vinod V.
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  2. Bipin Balaram
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Corresponding author

Correspondence to Vinod V. .

Editor information

Editors and Affiliations

  1. Department of Automation, Biomechanics and Mechatronics, Łódź University of Technology, Łódź, Poland

    Jan Awrejcewicz

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V., V., Balaram, B. (2024). Strategies for Amplitude Control in a Ring of Self-excited Oscillators. In: Awrejcewicz, J. (eds) Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021. Springer Proceedings in Mathematics & Statistics, vol 454. Springer, Cham. https://doi.org/10.1007/978-3-031-56496-3_44

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