Nonlinear Dynamics

A Primer

By: Alfredo Medio, Marji Lines, M. Lines

Write A Review

Hardcover | 11 October 2001

At a Glance

Hardcover
316 Pages

Dimensions(cm)
24.41 x 16.99 x 1.91

Hardcover

RRP $127.95

$116.75

or 4 interest-free payments of $29.19 with

or

Ships in 5 to 7 business days

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

Industry Reviews

'... the book is well written and contains lots of useful information. It will serve as a good reference on dynamical systems both for students and researchers.' Zentralblatt fur Mathematik und ihre Grenzgebiete Mathematics Abstracts

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $49.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Economics

Strategic Sustainability : A Pragmatic Blueprint for Responsible Business - John Pabon

$28.75

13%
OFF

The Age Of Capital

1848-1875

Paperback

RRP $26.99

$22.99

15%
OFF

Escape From Capitalism

Economics is Political, and Other Liberating Truths

Hardcover

RRP $55.00

$35.95

35%
OFF

The Serviceberry

An Economy of Gifts and Abundance

Paperback

RRP $26.99

$22.99

15%
OFF

Hayek's Bastards

The Neoliberal Roots of the Populist Right

Paperback

RRP $28.99

$24.75

15%
OFF

The Story of Capital

What Everyone Should Know about How Capital Works

Hardcover

RRP $52.99

$40.75

23%
OFF

To Be Honest

Paperback

RRP $32.99

$26.75

19%
OFF

How to Win a Trade War

Paperback

RRP $36.99

$28.75

22%
OFF

Incorruptible

Why Good Companies Go Bad and How Great Companies Stay Great

Paperback

RRP $36.99

$29.75

20%
OFF

Abundance

THE INSTANT NEW YORK TIMES BESTSELLER and SHORTLISTED FOR THE FT BUSINESS BOOK AWARD: How We Build a Better Future

Paperback

RRP $26.99

$22.99

15%
OFF

Think and Grow Rich : The Landmark Bestseller--Now Revised and Updated for the 21st Century - Napoleon Hill

$29.75

20%
OFF

The Trading Game

A Confession

Paperback

RRP $26.99

$22.99

15%
OFF

1929

The Inside Story of The Greatest Crash in Wall Street History

Paperback

RRP $39.99

$31.75

21%
OFF

London Falling

A Mysterious Death in a Gilded City, and a Family's Search for Truth

Paperback

RRP $36.99

$29.99

19%
OFF

SIGNED COPY

Blindspotting

How to See What Others Miss

Paperback

RRP $36.99

$26.75

28%
OFF

Putin's People

How the KGB Took Back Russia and then Took On the West

Paperback

RRP $24.99

$21.75

13%
OFF

How Europe Underdeveloped Africa

Paperback

RRP $32.99

$25.75

22%
OFF

Talking to My Daughter

The Sunday Times Bestseller

Paperback

RRP $26.99

$22.99

15%
OFF

The Culture Code

The Secrets of Highly Successful Groups

Paperback

RRP $26.99

$21.99

19%
OFF

Divergent Mind

Thriving in a World That Wasn't Designed For You

Paperback

RRP $29.99

$24.99

17%
OFF

A History of Central Banking and the Enslavement of Mankind - Stephen Mitford Goodson

$22.99

15%
OFF

Preface	p. xi
Statics and dynamics: some elementary concepts	p. 1
A static problem	p. 1
A discrete-time dynamic problem	p. 3
A continuous-time dynamic problem	p. 7
Flows and maps	p. 11
Exercises	p. 19
Review of linear systems	p. 22
Introduction	p. 22
General solutions of linear systems in continuous time	p. 25
Continuous systems in the plane	p. 34
General solutions of linear systems in discrete time	p. 43
Discrete systems in the plane	p. 47
An economic example	p. 52
Phase diagrams	p. 56
Exercises	p. 61
Stability of fixed points	p. 66
Some formal definitions of stability	p. 66
The linear approximation	p. 71
The second or direct method of Lyapunov	p. 76
General economic equilibrium	p. 85
Optimal economic growth	p. 92
Manifolds and tangent spaces	p. 98
Exercises	p. 99
Invariant and attracting sets, periodic and quasiperiodic orbits	p. 104
Invariant and limit sets	p. 105
Stability and attractiveness of general sets	p. 110
Attracting sets and attractors	p. 114
Periodic orbits and their stability	p. 118
Quasiperiodic orbits	p. 126
Conservative and dissipative systems	p. 128
Exercises	p. 130
Local bifurcations	p. 133
Introduction	p. 133
Centre manifold theory	p. 134
Local bifurcations for flows	p. 139
Local bifurcations for maps	p. 151
Bifurcations in two-dimensional maps	p. 160
Exercises	p. 161
Chaotic sets and chaotic attractors	p. 163
Basic definitions	p. 164
Symbolic dynamics and the shift map	p. 166
Logistic map with [mu] [gt] 2 + [square root]5	p. 171
Smale horseshoe	p. 173
Tent map and logistic map	p. 176
Doubling maps	p. 178
Chaotic attractors	p. 180
The Lorenz model	p. 182
Exercises	p. 189
Characteristic exponents, fractals, homoclinic orbits	p. 193
Lyapunov characteristic exponents	p. 193
Fractal dimension	p. 198
Horseshoes and homoclinic orbits	p. 204
Exercises	p. 211
Transition to chaos	p. 214
Period-doubling route to chaos	p. 214
Intermittency	p. 222
Crises	p. 226
Quasiperiodicity and chaos	p. 232
Exercises	p. 235
The ergodic approach	p. 237
Ergodic measures	p. 238
Lyapunov characteristic exponents revisited	p. 247
Natural, absolutely continuous, SBR measures	p. 249
Attractors as invariant measures	p. 252
Predictability, entropy	p. 253
Isomorphism	p. 260
Aperiodic and chaotic dynamics	p. 261
Mixing	p. 265
Shannon's entropy and Khinchin's axioms	p. 267
Exercises	p. 268
Deterministic systems and stochastic processes	p. 270
Bernoulli dynamics	p. 270
Markov shifts	p. 276
[alpha]-congruence	p. 277
Further reading	p. 282
Bibliography	p. 287
Subject index	p. 295
Table of Contents provided by Ingram. All Rights Reserved.

Nonlinear Dynamics

A Primer

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Economics

Strategic Sustainability

A Pragmatic Blueprint for Responsible Business

Privatising humanity

How our essential human needs became financial assets

The Age Of Capital

1848-1875

Escape From Capitalism

Economics is Political, and Other Liberating Truths

The Serviceberry

An Economy of Gifts and Abundance

Hayek's Bastards

The Neoliberal Roots of the Populist Right

The Story of Capital

What Everyone Should Know about How Capital Works

To Be Honest

How to Win a Trade War

Incorruptible

Why Good Companies Go Bad and How Great Companies Stay Great

Abundance

THE INSTANT NEW YORK TIMES BESTSELLER and SHORTLISTED FOR THE FT BUSINESS BOOK AWARD: How We Build a Better Future

Think and Grow Rich

The Landmark Bestseller--Now Revised and Updated for the 21st Century

Goliath's Curse

The History and Future of Societal Collapse

The Trading Game

A Confession

1929

The Inside Story of The Greatest Crash in Wall Street History

London Falling

A Mysterious Death in a Gilded City, and a Family's Search for Truth

Blindspotting

How to See What Others Miss

Putin's People

How the KGB Took Back Russia and then Took On the West

How Europe Underdeveloped Africa

Talking to My Daughter

The Sunday Times Bestseller

The Culture Code

The Secrets of Highly Successful Groups

Divergent Mind

Thriving in a World That Wasn't Designed For You

A History of Central Banking and the Enslavement of Mankind

Bullshit Jobs

The Rise of Pointless Work, and What We Can Do About It

This product is categorised by