The Generalized Julia Set Perturbed by Composing Additive and Multiplicative Noises

Xingyuan Wang, Ruihong Jia and Yuanyuan Sun

Discrete Dynamics in Nature and Society, 2009, vol. 2009, 1-18

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:781976

DOI: 10.1155/2009/781976

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