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The Generalized Julia Set Perturbed by Composing Additive and Multiplicative Noises

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  • Xingyuan Wang
  • Ruihong Jia
  • Yuanyuan Sun

Abstract

This paper contrastively researches the structural characteristic and the fission-evolution law of four different kinds of generalized Julia set (generalized J set in short) with different parameter , which includes the generalized J set without any perturbation, the generalized J set perturbed by additive noises, the generalized J set perturbed by multiplicative noise, and the generalized J set perturbed by composing additive and multiplicative noises, analyzes the effect of random perturbation to the generalized J set, and illuminates the stability of the generalized J set.

Suggested Citation

  • Xingyuan Wang & Ruihong Jia & Yuanyuan Sun, 2009. "The Generalized Julia Set Perturbed by Composing Additive and Multiplicative Noises," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-18, March.
    • Handle: RePEc:hin:jnddns:781976
    DOI: 10.1155/2009/781976
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    Cited by:

    1. Wang, Yupin & Li, Xiaodi & Wang, Da & Liu, Shutang, 2022. "A brief note on fractal dynamics of fractional Mandelbrot sets," Applied Mathematics and Computation, Elsevier, vol. 432(C).

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