I want to learn some knowledge about complex dynamical system, especially about the properties of Mandelbrot set, are there any literatures about this topics?
2026-03-27 13:46:58.1774619218
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properties of the Mandelbrot set and complex dynamical system
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- The Science of Fractal Images chapter 4 and appendix D
H-O. Peitgen et al (eds.)
https://archive.org/details/scienceoffractal0000unse_1987 - interactive demonstrations in Mandel software
Wolf Jung
http://mndynamics.com/indexp.html - Dynamics in one complex variable
John W. Milnor
https://abel.math.harvard.edu/archive/118r_spring_05/docs/milnor.pdf - Exploring the Mandelbrot set. The Orsay Notes
Adrien Douady, John H. Hubbard
https://pi.math.cornell.edu/~hubbard/OrsayEnglish.pdf - Internal addresses in the Mandelbrot set and Galois groups of polynomials
Dierk Schleicher
https://arxiv.org/abs/math/9411238 - various preprints on arXiv by the above and others
Milnor's book (available here : https://arxiv.org/abs/math/9201272) is a good reference. Note that you will need a solid knowledge of complex analysis as a prerequisite.