- 一维系统中的混沌--符号动力学映射序列一致收敛和沙可夫斯基定理(英文)/国外优秀数学著作原版系列
- - 作者：(印)英德拉尼尔·包米克|责编:刘立娟
  - 出版社：哈尔滨工业大学
  - ISBN：9787560339634
  - 出版日期：2022/05/01
  - 页数：169
- 售价：15.2

内容大纲
在牛顿和拉普拉斯的时代，人们的世界观被认为是决定论的，而近年人们越来越发现世界是混沌的，这对人们世界观的冲击是十分巨大的。本书就是这样一部颠覆人们世界观的英文学术著作，中文书名或可译为《一维系统中的混沌：符号动力学，映射序列，一致收敛和沙可夫斯基定理》。
本书的作者为英德拉尼尔·包米克，印度数学家，在印度卡雅尼大学获得纯数学硕士学位，在孟加拉工程与科学大学获得博士学位，研究方向为离散动力系统和混沌。
作者介绍
目录
1  Dynamical Systems-An Introduction
  1.1  Dynamical systems
  1.2  Continuous dynamical systems
  1.3  Discrete dynamical systems
    1.3.1  Discrete logistic model
    1.3.2  The tent map
  1.4  Topological dynamical systems
  1.5  Chaos and chaotic dynamics.
    1.5.1  General discussion
    1.5.2  Cantor set.
    1.5.3  Chaotic maps in the interval
    1.5.4  Set-valued chaos
    1.5.5  Uniform convergence and chaotic behavior
    1.5.6  Bifurcation in one-dimension
    1.5.7  Stability
  1.6  Sharkouskii's Theorem
  1.7  Symbolic dynamical systems
  1.8  Topological entropy
  1.9  Schwarzian derivative
  1.10  Applications of chaos
  1.11  Organization of the book
  1.12  Exercises .
2  Sequence of Maps and Chaos
  2.1  Prelude
  2.2  Mathematical preliminaries
  2.3  Sequence of maps in the successive way
  2.4  Sequence of maps in the iterative way
  2.5  Few examples.
3  Some Features of the Generalized Shift Map
  3.1  Prelude
  3.2  Mathematical preliminaries
  3.3  Chaoticity of the generalized shift map
  3.4  Some stronger chaotic properties of the generalized shift map
  3.5  Some special properties
  3.6  Conclusions
4  Dynamics of the Uniform Limit of Sequence of Maps
  4.1  Prelude
  4.2  Mathematical preliminaries
  4.3  Chaotic behavior of the uniform limit function
  4.4  Conclusions
5  Sharkovskii's Theorem
  5.1  Prelude
  5.2  Mathematical preliminaries
  5.3  Main theorems
  5.4  Further discussions on Sharkovski's Theorem
6  A New Model of Chaotic Dynamics
  6.1  Prelude
  6.2  Mathematical preliminaries
  6.3  Main theorems
  6.4  Some special properties

  6.5  Conclusions
Bibliography
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