出版时间:2005-6 出版社:世界图书出版公司 作者:Edward Ott 页数:478
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内容概要
这是一本非线性动力学方面的研究生教材,也是科研人员使用的一本很好的参考书。本书原版于1993年出版后很受欢迎,多次重印。第2版对第1版的内容和习题都作了增补,并增加了第10章(混沌的控制和同步),其它章也增加了许多新内容,如吸引域、球耦合振子的锁相、拉格朗日流的流体平流的分形问题、奇异非混沌吸引子等。
书籍目录
Preface to the first edition Preface to the second edition 1 Introduction and overview 1.1 Some history. 1.2 Examples of chaotic behavior 1.3 Dynamical systems 1.4 Attractors 1.5 Sensitive dependence on initial conditions 1.6 Delay coordinates Problems Notes 2 One-dimensional maps 2.1 Piecewise linear one-dimensional maps 2.2 The logistic map 2.3 General discussion of smooth one-dimensional maps 2.4 Examples of applications of one-dimensional maps to chaotic systems of higher dimensionaiity Appendix: Some elementary definitions and theorems concerning sets Problems Notes 3 Strange attractors and fractal dimension 3.1 The box-counting dimension 3.2 The generalized baker's map 3.3 Measure and the spectrum of Dq dimensions 3.4 Dimension spectrum for the generalized baker's map 3.5 Character of the natural measure for the generalized baker's map 3.6 The pointwise dimension ……4 Dynamical properties of chaoticsystems5 Nonattraeting chaotic sets6 Quasiperiodicity7 Chaos in Hamiltonlan systems8 Chaotic transitions9 Multifractals10 Control and synchronization of chaos11 QuantumchaosReferencesIndex
图书封面
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