複變動態系統
外观
複變動態系統(Complex dynamics)是以复数空間下迭代函数定義的動態系统,以及其相關的研究。複變解析動態系統(Complex analytic dynamics)則是研究特定解析函数組成的動態系統
技巧
[编辑]複變動態系統會用到以下的技巧[1]:
部份
[编辑]相關條目
[编辑]參考資料
[编辑]- ^ The Mandelbrot Set, Theme and Variations (London Mathematical Society Lecture Note Series) (No 274) by Tan Lei (Editor), Cambridge University Press, 2000
- ^ Flek, R; Keen, L, Boundaries of bounded Fatou components of quadratic maps (PDF), Journal of Difference Equations and Applications, July 13, 2009 [2014-12-12], (原始内容存档 (PDF)于2011-06-04)
- ^ Surveys in Dynamical systems available on-line at Dynamical Systems Homepage of Institute for Mathematical Sciences SUNY at Stony Brook. [2016-12-17]. (原始内容存档于2014-01-10).
書目
[编辑]- Alan F. Beardon, Iteration of Rational Functions: complex analytic dynamical systems, Springer, 2000, ISBN 978-0-387-95151-5
- Araceli Bonifant, Misha Lyubich, Scott Sutherland (editors), Frontiers in Complex Dynamics(页面存档备份,存于互联网档案馆), Princeton University Press, 2014.
- Lennart Carleson, Theodore W. Gamelin, Complex Dynamics(页面存档备份,存于互联网档案馆), Springer, 1993, ISBN 978-0-387-97942-7
- John Milnor, Dynamics in One Complex Variable(页面存档备份,存于互联网档案馆) (Third edition), Princeton University Press, 2006
- Shunsuke Morosawa, Y. Nishimura, M. Taniguchi, T. Ueda, Holomorphic Dynamics(页面存档备份,存于互联网档案馆), Cambridge University Press, 2000, ISBN 978-0-521-66258-1
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