An exciting new way of teaching chaos in dynamical systems to
undergraduates, using a combination of text and computer
experiments.. This book is an elementary introduction to the theory
of dynamical systems and chaos. The principal aim is to explore the
deep relationship among dynamical systems, chaos, and fractals, and
to uncover structure even where order seems to be absent. The
purpose in this text is to understand some of the phenomena which
are common across diverse systems, and investigate the mechanisms
which make them so. The approach will combine relatively simple
mathematics with computer experiments using the program Chaos for
Java which has been developed specifically for this purpose. This
book presents elements of the theory of chaos in dynamical systems
in a framework of theoretical understanding coupled with numerical
and graphical experimentation. The theory is developed using only
elementary calculus and algebra, and includes dynamics of one-and
two-dimensional maps, periodic orbits, stability and its
quantification, chaotic behavior, and bifurcation theory of
one-dimensional systems. There is an introduction to the theory of
fractals, with an emphasis on the imp
General
Imprint: |
WestviewPress
|
Country of origin: |
United States |
Release date: |
October 2003 |
First published: |
September 2003 |
Authors: |
Brian Davies
|
Dimensions: |
229 x 152 x 22mm (L x W x T) |
Format: |
Paperback
|
Pages: |
256 |
Edition: |
New ed |
ISBN-13: |
978-0-8133-4127-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
0-8133-4127-2 |
Barcode: |
9780813341279 |
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