Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
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Chaos: Concepts, Control and Constructive Use (Paperback, 2009 ed.)
Loot Price: R3,154
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Chaos: Concepts, Control and Constructive Use (Paperback, 2009 ed.)
Series: Understanding Complex Systems
Expected to ship within 10 - 15 working days
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The study of physics has changed in character, mainly due to the
passage from the analyses of linear systems to the analyses of
nonlinear systems. Such a change began, it goes without saying, a
long time ago but the qualitative change took place and boldly
evolved after the understanding of the nature of chaos in nonlinear
s- tems. The importance of these systems is due to the fact that
the major part of physical reality is nonlinear. Linearity appears
as a result of the simpli?cation of real systems, and often, is
hardly achievable during the experimental studies. In this book, we
focus our attention on some general phenomena, naturally linked
with nonlinearity where chaos plays a constructive part. The ?rst
chapter discusses the concept of chaos. It attempts to describe the
me- ing of chaos according to the current understanding of it in
physics and mat- matics. The content of this chapter is essential
to understand the nature of chaos and its appearance in
deterministic physical systems. Using the Turing machine, we
formulate the concept of complexity according to Kolmogorov.
Further, we state the algorithmic theory of Kolmogorov-Martin-Lof ]
randomness, which gives a deep understanding of the nature of
deterministic chaos. Readers will not need any advanced knowledge
to understand it and all the necessary facts and de?nitions will be
explained."
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