عنوان

Elements of applied bifurcation theory /

(Number (ISBN

0387219064

(Number (ISBN

1441919511

(Number (ISBN

9780387219066

(Number (ISBN

9781441919519

Title Proper

Elements of applied bifurcation theory /

General Material Designation

[Book]

First Statement of Responsibility

Yuri A. Kuznetsov.

Edition Statement

3rd ed.

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

©2004.

Specific Material Designation and Extent of Item

xxii, 631 pages :

Other Physical Details

illustrations ;

Dimensions

24 cm

Series Title

Applied mathematical sciences ;

Volume Designation

v. 112

Text of Note

Includes bibliographical references (pages 599-618) and index.

Text of Note

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 -- References -- Index.

0

Text of Note

"This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph. D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis."--Pub. desc.

Bifurcation theory.

Bifurcation, Théorie de la.

Bifurcatie.

Bifurcation theory.

Dynamische systemen.

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Kuznet︠s︡ov, I︠U︡. A., (I︠U︡riĭ Aleksandrovich)

Date of Transaction

20200823022859.0

Electronic name

[Book]

Y