Differential Equations and Dynamical Systems (Texts in Applied Mathematics)

Differential Equations and Dynamical Systems (Texts in Applied Mathematics)

by LawrencePerko (Author)

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.

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More Information

Format: Hardcover
Pages: 568
Edition: 3rd ed. 2001. Corr. 3rd printing
Publisher: Springer
Published: 28 Dec 2000

ISBN 10: 0387951164
ISBN 13: 9780387951164