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Bifurcation Analysis for Polynomial Equations

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Stability of Axially Moving Materials

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 259))

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Abstract

This chapter is devoted to bifurcation problems based on some models described by polynomial equations with real coefficients. Bifurcation analysis, parametric representations of solutions and their asymptotic analysis and expressions are described within a framework of analytical approaches. The results presented in this chapter can be used to help locate the bifurcation points of the solution curves. The results also allow the development of very efficient procedures for sensitivity analysis of the dependences of solutions on the problem parameters.

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Author information

Authors and Affiliations

  1. Russian Academy of Sciences, Institute for Problems in Mechanics, Moscow, Russia

    Nikolay Banichuk

  2. State University of Moldova, Chisinau, Moldova

    Alexander Barsuk

  3. Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Juha Jeronen & Pekka Neittaanmäki

  4. Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Tero Tuovinen

Authors
  1. Nikolay Banichuk
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  2. Alexander Barsuk
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  3. Juha Jeronen
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  4. Tero Tuovinen
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  5. Pekka Neittaanmäki
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Corresponding author

Correspondence to Nikolay Banichuk .

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Banichuk, N., Barsuk, A., Jeronen, J., Tuovinen, T., Neittaanmäki, P. (2020). Bifurcation Analysis for Polynomial Equations. In: Stability of Axially Moving Materials. Solid Mechanics and Its Applications, vol 259. Springer, Cham. https://doi.org/10.1007/978-3-030-23803-2_2

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  • DOI: https://doi.org/10.1007/978-3-030-23803-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-23802-5

  • Online ISBN: 978-3-030-23803-2

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