Nonlinear dynamics : a primer / Alfredo Medio, Marji Lines.

Format:

Book

Author/Creator:

Medio, Alfredo, 1938- author.

Lines, M. (Marji), 1951- author.

Language:

English

Subjects (All):

Differentiable dynamical systems.

Nonlinear theories.

Physical Description:

1 online resource (xiii, 300 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2001.

Language Note:

English

Summary:

A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources

Contents:

Statics and dynamics : some elementary concepts

Review of linear systems

Stability of fixed points

Invariant and attracting sets, periodic and quasiperiodic orbits

Local bifurcations

Chaotic sets and chaotic attractors

Characteristic exponents, fractals, homoclinic orbits

Transition to chaos

The ergodic approach

Deterministic systems and stochastic processes.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 287-293) and index.

ISBN:

1-107-11278-8

0-511-15473-9

0-511-05325-8

0-511-55571-7

0-511-75405-1

0-511-11628-4

1-280-15193-5

9786610151936

0-521-55874-3

OCLC:

475871334