Introduction to Chaos and Coherence

ISBN-13: 9781138458185 / Angielski / Twarda / 2019 / 144 str.

J Froyland

Opis

This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.

Recenzje

"A grand book for a course aimed at mathematicians, physicists, or engineers … the whole sweep of nonlinear dynamics, from chaos to cellular automata … an exciting little book."
-New Scientist

"… a wonderful book. The book serves as an excellent introduction in the field for the beginners. The reading of this book will be fruitful for all scientists and engineers stimulating them to understand the surrounding nature. The book is a valuable acquisition for any academic or technical library."
-Memoirs of the Scientific Sections, Seria IV

Spis treści

1 Introduction -- 2 Fractals -- 3 The logistic map -- 4 The circle map -- 5 Higher dimensional maps -- 6 Dissipative maps in higher dimensions -- 7 Conservative maps -- 8 Cellular automata -- 9 Ordinary differential equations -- 10 The Lorenz model -- 11 Time series analysis -- Appendices -- A1 Period three in the logistic map -- A2 Lyapunov exponents algorithm -- Further Reading -- Index.

O autorze

Froyland, J