Differential Equations and Dynamical Systems
Language: English
Published by Springer-Verlag New York Inc., 2000
- Hardcover
- Used
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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics.
Seller Inventory # CIN0387951164A
- Title
- Differential Equations and Dynamical Systems
- Author
- Lawrence Perko
- Publisher
- Springer-Verlag New York Inc.
- Publication year
- 2000
- Condition
- Fair
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0387951164
- ISBN 13
- 9780387951164
- Edition
- 3rd Edition
"Synopsis" may belong to another edition of this title.
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.
"About the title" may belong to another edition of this title.
World of Books Inc
Montgomery, IL, U.S.A.
AbeBooks seller since March 23, 2026
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