Includes bibliographical references (p. 177-178).
|Statement||Robert L. Devaney.|
|LC Classifications||QA614.86 .D48 1990|
|The Physical Object|
|Pagination||x, 181 p.,  p. of plates :|
|Number of Pages||181|
|LC Control Number||89210045|
Chaos, Fractals, and Dynamics (Volume 98) (Lecture Notes in Pure and Applied Mathematics) by P. Fischer and William R. Smith | Jun 5, Paperback. This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals . This chapter focuses on chaos. Chaos means exponentially sensitive dependence of final state upon initial state, positive Liapunov exponents, positive topological or metric entropy, and fractal attractors. Chaos means deterministic randomness —deterministic because of existence–uniqueness and randomness. Chaos .
Reflecting the vitality of new mathematical ideas in nonlinear dynamics, Chaotic and Fractal Dynamics will prove to be invaluable reading for applied scientists and engineers, including those involved in such diverse areas as mechanical and structural vibrations, nonlinear circuit design, control theory and robotics, machine noise 5/5(3). Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The. Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the Reviews: 4. Chaos, Fractals, and Dynamics book. Read reviews from world’s largest community for readers.4/5(13).
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the method of analysis and choice of emphasis make it very B&N Reads - Our Book Blog B&N Press Blog B&N Podcast. Special Values. Coupons & Deals Book Annex Buy 1, Get 1 50% Off: Books Price: $ : Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics (Applied Mathematical Sciences (97)) (): Lasota, Andrzej, Mackey, Michael C.: BooksCited by: Chaos and Fractals: New Frontiers of Science, by H.-O. Peitgen, H. Jurgens, and D. Saupe. pages covering fractals, dynamics, Julia sets and the Mandelbrot set, plus discussions of specialized topics . Chaotic Dynamics and Fractals covers the proceedings of the Conference on Chaotic Dynamics, held at the Georgia Institute of Technology. This conference deals with the research area of chaos, dynamical systems, and fractal Book Edition: 1.