Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The fractional Potts model on diamond-like hierarchical lattices is introduced in this manuscript, which is a fractional rational system in the complex plane.
Then, the fractal dynamics of this model is discussed from the fractal viewpoint.
Julia set of the fractional Potts model is given, and control items of this fractional model are designed to control the Julia set.
To associate two different Julia sets of the fractional model with different parameters and fractional orders, nonlinear coupling items are taken to make one Julia set change to another.
The simulations are provided to illustrate the efficacy of these methods.
American Psychological Association (APA)
Sun, Weihua& Liu, Shutang. 2020. Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1153505
Modern Language Association (MLA)
Sun, Weihua& Liu, Shutang. Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1153505
American Medical Association (AMA)
Sun, Weihua& Liu, Shutang. Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1153505
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153505