Bifurcation Analysis for Polynomial Equations

Banichuk Nikolay; Barsuk Alexander A.; Jeronen J.; Tuovinen Tero; Neittaanmaki Pekka

SM ISO690:2012

BANICHUK, Nikolay, BARSUK, Alexander A., JERONEN, J., TUOVINEN, Tero, NEITTAANMAKI, Pekka. Bifurcation Analysis for Polynomial Equations. Dusseldorf: 2020, pp. 33-68. ISSN 09250042DOI: 10.1007/978-3-030-23803-2_2

EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core

Solid Mechanics and its Applications

2020

Bifurcation Analysis for Polynomial Equations

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

Pag. 33-68

Banichuk Nikolay¹, Barsuk Alexander A.², Jeronen J.³, Tuovinen Tero³, Neittaanmaki Pekka³

¹ Institut pe Probleme Mecanice, Academia de Stiinte a Rusiei,
² Moldova State University,
³ University of Jyvaskyla

Disponibil în IBN: 15 februarie 2024

Descarcă PDF

Rezumat

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.

DOI: 10.1007/978-3-030-23803-2_2

Domenii științifice:

Ştiinţe fizico-matematice

Alte contribuții (capitole, secțiuni ale cărții / culegerii) disponibile în IBN

Preface DOI: 10.1515/9783110531183-022 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		V-VIII
Prototype Problems: Bifurcations of Different Kinds DOI: 10.1007/978-3-030-23803-2_1 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		1-32
Nonconservative Systems with a Finite Number of Degrees of Freedom DOI: 10.1007/978-3-030-23803-2_3 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		69-144
Some General Methods DOI: 10.1007/978-3-030-23803-2_4 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		145-177
Modeling and Stability Analysis of Axially Moving Materials DOI: 10.1007/978-3-030-23803-2_5 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		179-344
Stability of Axially Moving Plates DOI: 10.1007/978-3-030-23803-2_6 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		345-395
Stability of Axially Moving Strings, Beams and Panels DOI: 10.1007/978-3-030-23803-2_7 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		397-483
Stability in Fluid—Structure Interaction of Axially Moving Materials DOI: 10.1007/978-3-030-23803-2_8 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		485-561
Optimization of Elastic Bodies Subjected to Thermal Loads DOI: 10.1007/978-3-030-23803-2_9 Banichuk Nikolay , Barsuk Alexander A. , Jeronen J. , Tuovinen Tero , Neittaanmaki Pekka		563-587