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Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices
- Source :
- Discrete Dynamics in Nature and Society, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi Limited, 2020.
-
Abstract
- 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.
- Subjects :
- Pure mathematics
Mathematics::Dynamical Systems
Article Subject
Fractional model
Diamond
engineering.material
01 natural sciences
Julia set
010305 fluids & plasmas
Fractal
Modeling and Simulation
0103 physical sciences
engineering
QA1-939
Control (linguistics)
Fractal dynamics
010301 acoustics
Complex plane
Mathematics
Potts model
Subjects
Details
- Language :
- English
- ISSN :
- 10260226
- Volume :
- 2020
- Database :
- OpenAIRE
- Journal :
- Discrete Dynamics in Nature and Society
- Accession number :
- edsair.doi.dedup.....7e788b62200f117c81613b8557155d15