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Scaling Laws in Dynamical Systems (Paperback, 1st ed. 2021)
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Scaling Laws in Dynamical Systems (Paperback, 1st ed. 2021)
Series: Nonlinear Physical Science
Expected to ship within 10 - 15 working days
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This book discusses many of the common scaling properties observed
in some nonlinear dynamical systems mostly described by mappings.
The unpredictability of the time evolution of two nearby initial
conditions in the phase space together with the exponential
divergence from each other as time goes by lead to the concept of
chaos. Some of the observables in nonlinear systems exhibit
characteristics of scaling invariance being then described via
scaling laws. From the variation of control parameters, physical
observables in the phase space may be characterized by using power
laws that many times yield into universal behavior. The application
of such a formalism has been well accepted in the scientific
community of nonlinear dynamics. Therefore I had in mind when
writing this book was to bring together few of the research results
in nonlinear systems using scaling formalism that could treated
either in under-graduation as well as in the post graduation in the
several exact programs but no earlier requirements were needed from
the students unless the basic physics and mathematics. At the same
time, the book must be original enough to contribute to the
existing literature but with no excessive superposition of the
topics already dealt with in other text books. The majority of the
Chapters present a list of exercises. Some of them are analytic and
others are numeric with few presenting some degree of computational
complexity.
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