符号动力学是数学中研究符号动力系统的学科。在符号动力系统中,系统的状态可以表示成有限个抽象符号的无穷序列,由任一状态点的运动轨迹可以通过简单的移位规则来确定。
历史
关于符号动力学的起源可以追溯到雅克·阿达马在1898年的论文。
应用
延伸阅读
- Hao, Bailin. Elementary Symbolic Dynamics and Chaos in Dissipative Systems. World Scientific. 1989 [2013-06-15]. ISBN 9971-5-0682-3. (原始内容存档于2009-12-05).
- Bruce Kitchens, Symbolic dynamics. One-sided, two-sided and countable state Markov shifts. Universitext, Springer-Verlag, Berlin, 1998. x+252 pp. ISBN 3-540-62738-3 MR1484730
- Lind, Douglas; Marcus, Brian. An introduction to symbolic dynamics and coding. Cambridge University Press. 1995 [2013-06-15]. ISBN 0-521-55124-2. MR 1369092. Zbl 1106.37301. (原始内容存档于2016-06-22).
- G. A. Hedlund, Endomorphisms and automorphisms of the shift dynamical system[永久失效链接]. Math. Systems Theory, Vol. 3, No. 4 (1969) 320–3751
- M. Morse and G. A. Hedlund. Symbolic Dynamics. American Journal of Mathematics. 1938, 60: 815–866. JSTOR 2371264.
- Teschl, Gerald. Ordinary Differential Equations and Dynamical Systems. Providence: American Mathematical Society. 2012 [2013-06-15]. ISBN 978-0-8218-8328-0. (原始内容存档于2012-06-26).
外部来源
- ChaosBook.org (页面存档备份,存于互联网档案馆) Chapter "Transition graphs"
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