| Autor: |
Wang Xingyuan, Shi Qi-Jiang |
| Rok vydání: |
2006 |
| Předmět: |
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| Zdroj: |
Applied Mathematics and Computation. 181:816-825 |
| ISSN: |
0096-3003 |
| DOI: |
10.1016/j.amc.2006.02.010 |
| Popis: |
We have generalized the Baker, Devaney and Romera's work and constructed a series of generalized Mandelbort-Julia Sets (in abbreviated form generalized M-J sets) from the complex exponential map. Using the experimental mathematics method, we have innovated as follows: Present the theoretic proof about the explosion of the generalized J sets for complex index number; Theoretically analyze the symmetry and periodicity of the generalized M-J sets; Present a new attaching rule described the distributing of periodicity petal of generalized M sets for complex index number; Find abundant structure information of the generalized J sets contained in the generalized M sets for complex index number; Find that the speed of fractal growth in generalized M-J sets for complex index number is faster than that of generalized M-J sets for real index number, the parameter value @l"0 decides the speed of the fractal growth and the fractal growth in generalized M sets for complex index number points tends to the multifurcation and Misiurewicz point. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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