Medio A., M.Lines. Non-linear Dynamics.. A Primer (CUP,2001)(ISBN 0521551862)(309s)_PNc_.pdf
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Nonlinear Dynamics: A Primer
This book provides 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 in-
cluding economics, physics, engineering, biology, statistics and linguistics.
It includes a review of linear systems and an introduction to the classical
theory of stability, as well as chapters on the stability of invariant sets,
bifurcation theory, chaotic dynamics and the transition to chaos. In the
final chapters the authors approach the study of dynamical systems from a
measure-theoretical point of view, comparing the main notions and results to
their counterparts in the geometrical or topological approach. Finally, they
discuss the relations between deterministic systems and stochastic processes.
The book is part of a complete teaching unit. It includes a large number of
pencil and paper exercises, and an associated website oýers, free of charge, a
Windows-compatible software program, a workbook of computer exercises
coordinated with chapters and exercises in the book, answers to selected
book exercises, and further teaching material.
Alfredo Medio is Professor of Mathematical Economics at the Uni-
versity `Ca' Foscari' of Venice and Director of the International Centre of
Economics and Finance at the Venice International University. He has pub-
lished widely on applications of dynamical system theory; his books include
Chaotic Dynamics: Theory and Applications to Economics
(Cambridge Uni-
versity Press, 1992).
Marji Lines is Associate Professor of Economics at the University of
Udine, Italy where she has taught courses in microeconomics, mathematical
economics and econometrics. She has published articles on economic theory
and environmental economics in journals and collections.
Nonlinear Dynamics
A Primer
ALFREDO MEDIO
MARJI LINES
PUBLISHED BY CAMBRIDGE UNIVERSITY PRESS (VIRTUAL PUBLISHING)
FOR AND ON BEHALF OF THE PRESS SYNDICATE OF THE UNIVERSITY OF
CAMBRIDGE
The Pitt Building, Trumpington Street, Cambridge CB2 IRP
40 West 20th Street, New York, NY 10011-4211, USA
477 Williamstown Road, Port Melbourne, VIC 3207, Australia
http://www.cambridge.org
© Alfredo Medio and Marji Lines 2001
This edition © Alfredo Medio and Marji Lines 2003
First published in printed format 2001
A catalogue record for the original printed book is available
from the British Library and from the Library of Congress
Original ISBN 0 521 55186 2 hardback
Original ISBN 0 521 55874 3 paperback
ISBN 0 511 01604 2 virtual (netLibrary Edition)
To the memory of my father
who taught me to love books
To my mother and father
Plik z chomika:
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