Differential Equations and Dynamical Systems (Hardcover, 3rd ed. 2001. Corr. 3rd printing 2008)

This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem, the use of the Poincare map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Texts in Applied Mathematics, 7
Release date:	February 2008
First published:	2001
Authors:	Lawrence Perko
Dimensions:	235 x 155 x 38mm (L x W x T)
Format:	Hardcover
Pages:	557
Edition:	3rd ed. 2001. Corr. 3rd printing 2008
ISBN-13:	978-0-387-95116-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of fluids > Flow, turbulence, rheology
LSN:	0-387-95116-4
Barcode:	9780387951164

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