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Erschienen in:
Prototype Problems: Bifurcations of Different Kinds Kapitel lesen Erstes Kapitel lesen

2020 | OriginalPaper | Buchkapitel

2. Bifurcation Analysis for Polynomial Equations

verfasst von : Nikolay Banichuk, Alexander Barsuk, Juha Jeronen, Tero Tuovinen, Pekka Neittaanmäki

Erschienen in: Stability of Axially Moving Materials

Verlag: Springer International Publishing

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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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Vorheriges Kapitel Prototype Problems: Bifurcations of Different Kinds
Nächstes Kapitel Nonconservative Systems with a Finite Number of Degrees of Freedom
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Metadaten
Titel
Bifurcation Analysis for Polynomial Equations
verfasst von
Nikolay Banichuk
Alexander Barsuk
Juha Jeronen
Tero Tuovinen
Pekka Neittaanmäki
Copyright-Jahr
2020
Buch
Stability of Axially Moving Materials

Print ISBN: 978-3-030-23802-5

Electronic ISBN: 978-3-030-23803-2

Copyright-Jahr: 2020

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

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