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Chaos - From Theory to Applications (Paperback, Softcover reprint of the original 1st ed. 1992)
Loot Price: R2,927
Discovery Miles 29 270
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Chaos - From Theory to Applications (Paperback, Softcover reprint of the original 1st ed. 1992)
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Based on chaos theory two very important points are clear: (I)
random looking aperiodic behavior may be the product of
determinism, and (2) nonlinear problems should be treated as
nonlinear problems and not as simplified linear problems. The
theoretical aspects ofchaos have been presented in great detail in
several excellent books published in the last five years or so.
However, while the problems associated with applications of the
theory-such as dimension and Lyapunov exponentsestimation, chaosand
nonlinear pre diction, and noise reduction-have been discussed in
workshops and ar ticles, they have not been presented in book form.
This book has been prepared to fill this gap between theory and ap
plicationsand to assist studentsand scientists wishingto apply
ideas from the theory ofnonlinear dynamical systems to problems
from their areas of interest. The book is intended to be used as a
text for an upper-level undergraduate or graduate-level course, as
well as a reference source for researchers. My philosophy behind
writing this book was to keep it simple and informative without
compromising accuracy. I have made an effort to presentthe
conceptsby usingsimplesystemsand step-by-stepderivations. Anyone
with an understanding ofbasic differential equations and matrix
theory should follow the text without difficulty. The book was
designed to be self-contained. When applicable, examples accompany
the theory. The reader will notice, however, that in the later
chapters specific examples become less frequent. This is purposely
done in the hope that individuals will draw on their own ideas and
research projects for examples.
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