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Elements of Applied Bifurcation Theory - Yuri Kuznetsov
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Elements of Applied Bifurcation Theory - new book

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Elements of Applied Bifurcation Theory - new book

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Elements of Applied Bifurcation Theory - new book

2013, ISBN: 9781475739787

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Details of the book - Elements of Applied Bifurcation Theory


EAN (ISBN-13): 9781475739787
Publishing year: 2013
Publisher: Springer New York

Book in our database since 2015-11-11T08:08:28-05:00 (New York)
Detail page last modified on 2024-01-26T09:47:05-05:00 (New York)
ISBN/EAN: 9781475739787

ISBN - alternate spelling:
978-1-4757-3978-7
Alternate spelling and related search-keywords:
Book author: kuznetsov
Book title: bifur, elements applied bifurcation theory


Information from Publisher

Author: Yuri Kuznetsov
Title: Applied Mathematical Sciences; Elements of Applied Bifurcation Theory
Publisher: Springer; Springer US
632 Pages
Publishing year: 2013-03-09
New York; NY; US
Language: English
171,19 € (DE)
176,00 € (AT)
201,00 CHF (CH)
Available
XXII, 632 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Kybernetik und Systemtheorie; Verstehen; Mathematica; applied mathematics; bifurcation; dynamical systems; numerical analysis; numerical method; stability; ordinary differential equations; B; Dynamical Systems; Differential Equations; Applications of Mathematics; Mathematics and Statistics; Differentialrechnung und -gleichungen; Angewandte Mathematik; BB

1 Introduction to Dynamical Systems.- 2 Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems.- 3 One-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems.- 4 One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems.- 5 Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Dynamical Systems.- 6 Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria.- 7 Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems.- 8 Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems.- 9 Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems.- 10 Numerical Analysis of Bifurcations.- A Basic Notions from Algebra, Analysis, and Geometry.- A.1 Algebra.- A.1.1 Matrices.- A.1.2 Vector spaces and linear transformations.- A.1.3 Eigenvectors and eigenvalues.- A.1.4 Invariant subspaces, generalized eigenvectors, and Jordan normal form.- A.1.5 FredholmAlternative Theorem.- A.1.6 Groups.- A.2 Analysis.- A.2.1 Implicit and Inverse Function Theorems.- A.2.2 Taylor expansion.- A.2.3 Metric, normed, and other spaces.- A.3 Geometry.- A.3.1 Sets.- A.3.2 Maps.- A.3.3 Manifolds.- References.

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