Year: 2019
Author: Changan Liu, Shutang Liu
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 4 : pp. 443–459
Abstract
In this paper, the formats of Julia sets for a class of nonlinear complex dynamic systems with variable coefficients were studied under certain conditions. For the complex dynamic systems in piecewise cases, we proposed some methods to control the forms of their Julia sets and stable domains analytically. What's more, we illustrated that our methods worked well by computational simulations. Our work provides a better understanding about how to control the Julia sets of certain complex dynamic systems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.443
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 4 : pp. 443–459
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Fractals variable coefficients complex dynamic system stable domain Julia sets.