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
This volume is an introduction to applied nonlinear dynamics and chaos.
E. E. Peters , Chaos and Order in the Capital Markets ( Wiley , New York , 1991 ) . ... Rosario N. Mantegna and H. Eugene Stanley , An Introduction to Econophysics ( Cambridge University Press , New York , 1999 ) .
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject.
They now form the core of this work which seeks to present the state of the art in various branches of the theory of dynamical systems.
This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems.
Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses.
Chaotic motions in a weakly nonlinear model for surface waves. J. Fluid Mech. (in press). Holmes, P. J., and Marsden, J. E. [1978]. Bifurcations to divergence and flutter in flow-induced oscillations: an infinite-dimensional analysis.
Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses.
A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos.