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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. Product details Format Hardback pages Dimensions x x Other books in this series. Add to basket.
TMA4165 Differential Equations and Dynamical Systems - Spring 12222
Topology, Geometry and Gauge fields Gregory L. Introduction to Perturbation Methods Mark H.
Introduction to Mechanics and Symmetry Jerrold E. Numerical Mathematics Alfio Quarteroni. Introduction to Numerical Analysis Josef Stoer.
Theoretical Numerical Analysis Kendall Atkinson. Back cover copy This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems.