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Copyright of Journal of Frontiers of Computer Science & Technology is the property of Beijing Journal of Computer Engineering & Applications Journal Co Ltd. and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Telecommunication Engineering is the property of Telecommunication Engineering and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The method constructing the Mandelbrot sets from a simple nonanalytic mapping developed by Michelitsch, et al. was expanded. According to the expanded complex mapping, a series of the generalized Mandelbrot sets for real index number were constructed. Using the experimental mathematical method combining the theory of analytic function of one complex variable with computer-aided drawing, the fractal features and evolutions of the generalized Mandelbrot sets were studied. The results show the following facts: the geometry structure of the generalized Mandelbrot sets depends on the parameters of a and JR; the generalized Mandelbrot sets for integer index number-have symmetry and fractal feature; the generalized Mandelbrot sets for decimal index number have discontinuity and collapse, and their evolutions depend on the choice of the principal range of the phase angle [ABSTRACT FROM AUTHOR]