期刊
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
卷 10, 期 3, 页码 1148-1161出版社
INT SCIENTIFIC RESEARCH PUBLICATIONS
DOI: 10.22436/jnsa.010.03.24
关键词
Fractal generating method; generalized Mandelbrot set; asymptote family; boundary point; periodic point
资金
- National Natural Science Foundation of China [61502254]
- EUFP7 WIDTH project
- VALCRI project
Generalized Mandelbrot set (k-M set) is the basis of fractal analysis. This paper presents a novel method to generate k-M set, which generates k-M set precisely by constructing its asymptote family. Correctness of the proposed method is proved as well as computational complexity is researched. Further, application of the generation method is studied, which is used to analyze distribution of boundary points and periodic points of k-M set. Finally, experiments have been implemented to evaluate the theoretical results. (C)2017 All rights reserved.
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