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- W2363509181 abstract "A series of M-J chaotic-fractal image families are generated by the escape time algorithm. Universal constant in the Mandelbrot set and approximate scaling invariable factor in the Julia sets are discovered, which qualitatively demonstrate scaling invariance of M-J chaos-fractal images. Furthermore, the topological invariance on the periodic buds Fibonacci sequence and golden section point in the Mandelbrot set are discovered. Lastly, the corresponding relation of M-J between a parameter c in an attractive periodic bud of the Mandelbrot set and image structure of the Julia sets on dynamical plane are presented, and a recursive formula on periodic orbits of M-J and characteristic images on multiple structure is given. All results show a better understanding on the structure of M-J sets." @default.
- W2363509181 created "2016-06-24" @default.
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- W2363509181 date "2003-01-01" @default.
- W2363509181 modified "2023-09-25" @default.
- W2363509181 title "A Series Conjectures of M-J Chaos-Fractal Image Construction by the Periodic Buds Fibonacci Sequence" @default.
- W2363509181 hasPublicationYear "2003" @default.
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