Introduction To Applied Nonlinear Dynamical Systems And Chaos

Author: Stephen Wiggins
Publisher: Springer Science & Business Media
ISBN: 9781475740677
Size: 13.17 MB
Format: PDF, Docs
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This volume is an introduction to applied nonlinear dynamics and chaos. The emphasis is on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains an extensive bibliography and a detailed glossary of terms.

Introduction To Applied Nonlinear Dynamical Systems And Chaos

Author: Stephen Wiggins
Publisher: Springer Science & Business Media
ISBN: 9780387217499
Size: 19.30 MB
Format: PDF, ePub
View: 84

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

Stability Instability And Chaos

Author: Paul Glendinning
Publisher: Cambridge University Press
ISBN: 0521425662
Size: 16.29 MB
Format: PDF, Mobi
View: 84

An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.

Nonlinear Oscillations Dynamical Systems And Bifurcations Of Vector Fields

Author: John Guckenheimer
Publisher: Springer Science & Business Media
ISBN: 9781461211402
Size: 14.42 MB
Format: PDF, ePub, Mobi
View: 43

An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

Differential Equations And Dynamical Systems

Author: Lawrence Perko
Publisher: Springer Science & Business Media
ISBN: 9781461300038
Size: 12.63 MB
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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.

Introduction To The Modern Theory Of Dynamical Systems

Author: Anatole Katok
Publisher: Cambridge University Press
ISBN: 0521575575
Size: 17.80 MB
Format: PDF, Kindle
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This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up.

Nonlinear Systems

Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 0521406684
Size: 12.29 MB
Format: PDF, ePub, Docs
View: 70

A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.