Synopses & Reviews
Chaos theory embodies an approach and a set of methods to deal with the complex behavior found in many physical systems. Indeed, the enthusiasm that has developed for the study of chaos is a result of the broad extent of its applications. However, chaos is a young science, and only in recent years have its important examples become well understood and its methods well developed and standardized.
Chaotic Dynamics of Nonlinear Systems presents the major models for the transitions to chaos exhibited by dynamic systems. Rasband introduces the "classical" topics and examples that have emerged as fundamental to the discipline. The most important routes to chaos are described in a unified framework and supported by integrated problem sets.
This book is an accessible introduction to the theory, techniques, and applications of chaos for researchers as well as teachers and students of physics, mathematics, and engineering.
Synopsis
Covering all essential topics, this book introduces the major paradigms in the transition to chaos as exhibited by dynamic systems -- all in a coherent and logically integrated format. Every route to chaos in clearly illustrated with examples of how it progresses in specific dynamical systems such as the logistical map, the Lorenz system, and more. Focusing mostly on dissipative systems, this book examines both concepts of mappings and differential dynamics.
Includes a chapter on fractal dimension and two chapters on the experimental measurements of chaos.
Synopsis
An introduction to the study of chaotic systems via numerical analysis, this work includes many applications in physics and employs differential equations, linear vector spaces and some Hamiltonian systems. Includes problems.
About the Author
S. Neil Rasband is Professor of Physics in the Department of Physics and Astronomy at Brigham Young University, Provo, Utah, whose staff he joined in 1972.
Table of Contents
One-Dimensional Maps.
Universality Theory.
Fractal Dimension.
Differential Dynamics.
Nonlinear Examples with Chaos.
Two-Dimensional Maps.
Conservative Dynamics.
Measures of Chaos.
Complexity and Chaos.
Reprise.
Glossary.
References.
Index.