|
|
|
Список литературы
|
|
|
1. |
R. Thom, Structural Stability and Morphogenesis: An Outline of a General Theory of Models, Addison-Wesley, Reading, MA, 1989 |
2. |
V. Arnol'd, Catastrophe Theory, 3rd ed., Springer-Verlag, Berlin, 1992 |
3. |
L. Landau and E. Lifshitz, Course of Theoretical Physics, v. 6, Fluid Mechanics, 2003 |
4. |
V. Dolotin and A. Morozov, Universal Mandelbrot Set. Beginning of the Story, World Scientific, 2006 ; arXiv: hep-th/0501235; for generalization to many x-variables see s. 7 of [DM3] |
5. |
J. Milnor, Dynamics of one complex variable, 1991 |
6. |
J.-C. Yoccoz, Introduction to hyperbolic dynamics, Proc. of the NATO Advanced Study Intitute in Real and Complex Dynamical Systems, Kluwer, Hillerod, Denmark, 1993 |
7. |
S. Morosawa, Y. Nishsimura, M. Taniguchi, and T. Ueda, Holomorphic dynamics, Cambridge University Press, 2000 |
8. |
G. Shabat, Lecture at Kiev School, April-May 2002 |
9. |
http://www.wikipedia.org |
10. |
R. Penrose, The Emperor's New Mind, Oxford University Press, 1989 |
11. |
The number of programs designed to simulate MS is huge, many of them are easilly accessible on the Web. Following [4, 12] we use the Fractal Explorer(FE): A. Sirotinsky and O. Fedorenko, Fractal Explorer, http://www.eclectasy.com/Fractal-Explorer and http://fractals.da.ru. As all other programs, FE actually generates $\widetilde{MS}(f)$ instead of $MS(f)$. We are not aware of any programs which make use of eq. (4) thought it should be rather easy to make them from FE and other conventional |
12. |
V. Dolotin and A. Morozov, arXiv: hep-th/0701234 |