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Introduction to Nonlinear Science (Paperback, New)
Loot Price: R1,478
Discovery Miles 14 780
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Introduction to Nonlinear Science (Paperback, New)
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One of the most unexpected results in science in recent years is
that quite ordinary systems obeying simple laws can give rise to
complex, nonlinear or chaotic, behavior. In this book, the author
presents a unified treatment of the concepts and tools needed to
analyze nonlinear phenomena and to outline some representative
applications drawn from the physical, engineering, and biological
sciences. Some of the interesting topics covered include: dynamical
systems with a finite number of degrees of freedom, linear
stability analysis of fixed points, nonlinear behavior of fixed
points, bifurcation analysis, spatially distributed systems, broken
symmetries, pattern formation, and chaotic dynamics. The author
makes a special effort to provide a logical connection between
ordinary dynamical systems and spatially extended systems, and to
balance the emphasis on chaotic behavior and more classical
nonlinear behavior. He also develops a statistical approach to
complex systems and compares it to traditional deterministic phase
space descriptions. This book is suitable for senior undergraduate
and graduate students taking nonlinear courses from many different
perspectives including physics, chemistry, biology, and
engineering.
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