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内容説明
This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple， deterministic， nonlinear mathematical models that describe dynamic phenomena in various physical， chemical， biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory， together with the properties of chaotic solutions， are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.
Book Description
Surveying both theoretical and experimental aspects of chaotic behavior， this book presents chaos as a model for many seemingly random processes in nature. Basic notions from the theory of dynamical systems， bifurcation theory and the properties of chaotic solutions are then described and illustrated by examples. A review of numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided. In addition， an extensive survey of experimental observation of chaotic behavior and methods of its analysis are used to stress universal features of the phenomenon.