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Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
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Nonlinear Dynamics and Chaos - With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Paperback, 2nd edition)
Loot Price: R519
Discovery Miles 5 190
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Nonlinear Dynamics and Chaos - With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Paperback, 2nd edition)
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Loot Price R519
Discovery Miles 5 190
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This textbook is aimed at newcomers to nonlinear dynamics and
chaos, especially students taking a first course in the subject.
The presentation stresses analytical methods, concrete examples,
and geometric intuition. The theory is developed systematically,
starting with first-order differential equations and their
bifurcations, followed by phase plane analysis, limit cycles and
their bifurcations, and culminating with the Lorenz equations,
chaos, iterated maps, period doubling, renormalization, fractals,
and strange attractors. A unique feature of the book is its
emphasis on applications. These include mechanical vibrations,
lasers, biological rhythms, superconducting circuits, insect
outbreaks, chemical oscillators, genetic control systems, chaotic
waterwheels, and even a technique for using chaos to send secret
messages. In each case, the scientific background is explained at
an elementary level and closely integrated with mathematical
theory. In the twenty years since the first edition of this book
appeared, the ideas and techniques of nonlinear dynamics and chaos
have found application to such exciting fields as systems biology,
evolutionary game theory, and socio-physics. This second edition
includes new exercises on these cutting-edge developments, on
topics as varied as curiosities of visual perception and the
tumultuous love dynamics in Gone with the Wind.
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