Download An Introduction to Chaotic Dynamical Systems, 2nd Edition eBook
by Robert Devaney,Robert L. Devaney
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This book is an introduction to dynamical systems defined by iterative maps of continuous functions. It doesn't require much advanced knowledge, but it does require a familiarity and certain level of comfort with proofs. The basic idea of this book is to explore (in the context of iterative maps) the major themes of dynamical systems, which can later be explored in the messier setting of differential equations and continuous-time systems
Robert Devaney, Robert L. Devaney.
Robert Devaney, Robert L.
Поиск книг BookFi BookSee - Download books for free. A First Course In Chaotic Dynamical Systems: Theory And Experiment (Studies in Nonlinearity).
The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has . He is the author of An Introduction to Chaotic Dynamical Systems, and Chaos, Fractals, and Dynamics: Computer Experiments in Modern Mathematics, which aims to explain the beauty of chaotic dynamics to high school students and teachers.
Robert Luke Devaney (born 1948) is an American mathematician, the Feld Family Professor of Teaching Excellence at Boston University. Devaney was born on April 9, 1948, and grew up in Methuen, Massachusetts. Devaney graduated in 1969 from the College of the Holy Cross, and earned his P. in 1973 from the University of California, Berkeley under the supervision of Stephen Smale.
Part One: One-Dimensional Dynamics . Examples of dynamical systems . Preliminaries from calculus . Elementary definitions . Hyperbolicity . An example: the quadratic family . Symbolic dynamics . Topological conjugacy . Chaos. Structural stability . 0 Sarkovskii's theorem . 1.
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