Description
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.
Author: Lawrence Perko
Publisher: Springer
Published: 12/28/2000
Pages: 557
Binding Type: Hardcover
Weight: 2.12lbs
Size: 9.40h x 6.40w x 1.60d
ISBN13: 9780387951164
ISBN10: 0387951164
BISAC Categories:
- Science | System Theory
- Medical | General
- Education | General
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