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Nevanlinna Theory for Existence of Meromorphic Solution to Stuart-Landau Equation

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

We employ the Nevanlinna theory to investigate the existence of meromorphic solution of the Stuart-Landau equation that is widely used to model supercritical bifurcations occurring in flow systems. We consider the corresponding complex differential equation with sharing value one counting multiplicity or ignoring multiplicity.

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Authors and Affiliations

  1. Department of Mathematics, Siddaganga Institute of Technology, Tumkur, 572103, India

    A. Tanuja

  2. Department of Mathematics, Bangalore University, Jnana bharathi Campus, Bengaluru, 560056, India

    P. G. Siddheshwar

Authors
  1. A. Tanuja
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  2. P. G. Siddheshwar
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Corresponding author

Correspondence to A. Tanuja .

Editor information

Editors and Affiliations

  1. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    R. Sivaraj

  3. University of Botswana, Gaborone, Botswana

    J. Prakash

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Tanuja, A., Siddheshwar, P.G. (2021). Nevanlinna Theory for Existence of Meromorphic Solution to Stuart-Landau Equation. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_29

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_29

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

  • eBook Packages: EngineeringEngineering (R0)

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