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An introduction to dynamical systems
Autor: Arrowsmith, David K.
Rok: 1990
ISBN: 9780521316507
OKCZID: 110059863
Citace (dle ČSN ISO 690):
ARROWSMITH, David K. An introduction to dynamical systems. New York, N.Y.: Cambridge University Press, 1990. 423 s.
Hodnocení:
5.0 / 5
(6 hlasů)
Anotace
Largely self-contained, this is an introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit "chaotic behavior." The first portion of the book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms and the logistic map and area-preserving planar maps. The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. The text contains many worked examples and exercises, many with hints. It will be a valuable first textbook for senior undergraduate and postgraduate students of mathematics, physics, and engineering.