Differential Equations and Dynamical Systems (Texts in Applied Mathematics, 7)

Perko, Lawrence

ISBN 10: 3540974431 / ISBN 13: 9783540974437

Published by Springer-Verlag, 1991

About this Item

Springer-Verlag, 1991. XII+403 pages. Fine Hardcover. (Unused book with signature on the flyleafand light sunning to the spine). 9.5"x6.25"x1.0". be48.

Seller Inventory # ABE-1708354709542

Bibliographic Details

• Title: Differential Equations and Dynamical Systems (Texts in Applied Mathematics, 7)
• Publisher: Springer-Verlag
• Publication Date: 1991
• Language: English
• ISBN 10: 3540974431
• ISBN 13: 9783540974437
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Fine

About this title

Synopsis

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. 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.

From the Back Cover

  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 contains materials on higher order Melnikov functions 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.