複變動態系統
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
複變動態系統會用到以下的技巧[1]:
參考資料
- 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, (PDF), Journal of Difference Equations and Applications, July 13, 2009 [2014-12-12], (原始内容存档 (PDF)于2011-06-04)
- . [2016-12-17]. (原始内容存档于2014-01-10).
書目
- 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), Princeton University Press, 2014.
- Lennart Carleson, Theodore W. Gamelin, Complex Dynamics(页面存档备份,存于), Springer, 1993, ISBN 978-0-387-97942-7
- John Milnor, Dynamics in One Complex Variable(页面存档备份,存于) (Third edition), Princeton University Press, 2006
- Shunsuke Morosawa, Y. Nishimura, M. Taniguchi, T. Ueda, Holomorphic Dynamics(页面存档备份,存于), Cambridge University Press, 2000, ISBN 978-0-521-66258-1
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