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2020 | OriginalPaper | Chapter

1. Prototype Problems: Bifurcations of Different Kinds

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

Published in: Stability of Axially Moving Materials

Publisher: Springer International Publishing

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Abstract

In this chapter, we present some prototype bifurcation problems that arise in the mechanics of rigid and deformable structural elements. These problems are typical for engineering applications and characterize the approaches that can be applied in the investigation of stability. Some methods of bifurcation theory will be presented in the context of stability studies of the considered one-dimensional mechanical problems.

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next chapter Bifurcation Analysis for Polynomial Equations
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Metadata
Title
Prototype Problems: Bifurcations of Different Kinds
Authors
Nikolay Banichuk
Alexander Barsuk
Juha Jeronen
Tero Tuovinen
Pekka Neittaanmäki
Copyright Year
2020
Book
Stability of Axially Moving Materials

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

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

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-23803-2_1