Elements of Applied Bifurcation Theory

Name: Elements of Applied Bifurcation Theory
Availability: InStock
ISBN: 9780387219066

ISBN-10: 0387219064

ISBN-13: 9780387219066

Edition: 3rd 2004 (Revised)

Authors: EIiu A. Kuzneetisov, Yuri A. Kuznetsov

List price: $199.99

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Description:

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…

Book details

List price: $199.99
Edition: 3rd
Copyright year: 2004
Publisher: Springer New York
Publication date: 6/29/2004
Binding: Hardcover
Pages: 632
Size: 6.10" wide x 9.25" long x 1.25" tall
Weight: 2.530
Language: English




Introduction to dynamical systems



Topological equivalence, bifurcations, and structural stability of dynamical systems



One-parameter bifurcations of equilibria in continuous-time dynamical systems



One-parameter bifurcations of fixed points in discrete-time dynamical systems



Bifurcations of equilibria and periodic orbits in n-dimensional dynamical systems



Bifurcations of orbits homoclinic and heteroclinic to hyperbolic equilibria



Other one-parameter bifurcations in continuous-time dynamical systems



Two-parameter bifurcations of equilibria in continuous-time dynamical systems



Two-parameter bifurcations of fixed points in discrete-time dynamical systems



Numerical analysis of bifurcations



Basic notions from algebra, analysis, and geometry