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Nonlinear dynamics : = a primer /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonlinear dynamics :/ Alfredo Medio, Marji Lines.
Reminder of title:	a primer /
Author:	Medio, Alfredo,
other author:	Lines, M.
Description:	1 online resource (xiii, 300 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Differentiable dynamical systems. -
Online resource:	https://doi.org/10.1017/CBO9780511754050
ISBN:	9780511754050 (ebook)

Nonlinear dynamics : = a primer /
Medio, Alfredo,1938-

Nonlinear dynamics :a primer /Alfredo Medio, Marji Lines. - 1 online resource (xiii, 300 pages) :digital, PDF file(s).

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

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.

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

ISBN: 9780511754050 (ebook)Subjects--Topical Terms:

528273
Differentiable dynamical systems.

LC Class. No.: QA614.8 / .M428 2001

Dewey Class. No.: 515/.352

Nonlinear dynamics : = a primer /
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245 1 0 $a Nonlinear dynamics : $b a primer / $c Alfredo Medio, Marji Lines.
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 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.
520 $a 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
650 0 $a Differentiable dynamical systems. $3 528273
650 0 $a Nonlinear theories. $3 527937
700 1 $a Lines, M. $q (Marji), $d 1951- $e author. $3 1440667
776 0 8 $i Print version: $z 9780521551861
856 4 0 $u https://doi.org/10.1017/CBO9780511754050