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Renormalization and Geometry in One Dimensional Dynamics (Hardcover)
Loot Price: R2,174
Discovery Miles 21 740
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Renormalization and Geometry in One Dimensional Dynamics (Hardcover)
Series: Advanced Series in Nonlinear Dynamics
Expected to ship within 12 - 17 working days
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Total price: R2,194
Discovery Miles: 21 940
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About one and a half decades ago, Feigenbaum, independently of
Coullet and Tresser, observed that bifurcations, from simple
dynamics to complicated ones, in a family of folding maps like
quadratic polynomials follow an universal rule. This observation
opened a new way to understanding transition from nonchaotic
systems to chaotic or turbulent system in fluid dynamics and many
other areas. The renormalization was used to explain this observed
universality. This book is intended to bring the reader to the
frontier of this active research area which is concerned with
renormalization and rigidity in one dimensional dynamics. Most
recent results and techniques developed by Sullivan and others
(including the authors) in the past five years for an understanding
of this universality as well as the most basic and important
techniques in the study of one dimensional dynamics also included
here.
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