Dynamics of potts–bethe mapping of degree four on ℚ5

Ahmad, Mohd Ali Khameini and Pah, Chin Hee and Saburov, Mansoor (2019) Dynamics of potts–bethe mapping of degree four on ℚ5. In: "1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018", 10 - 12 Dec 2018, Penang.

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Abstract

We give the full descriptions of the dynamical behaviour of the Potts–Bethe mapping of degree four on Q5. For a, b in Q5, the Potts–Bethe mapping is written as follows f_{a,b}=( \frac{ax+b}{x+a+b-1})^4 When |a - 1|5 < |b + 1|5 < 1, there exists a subsystem (J; f_{a,b}) that is topologically conjugate to the chaotic full shift dynamics on four symbols.We also show that for any initial point x in Q5, the trajectory of the Potts–Bethe mapping converges to a unique attracting fixed point.

Item Type:	Conference or Workshop Item (Invited Papers)
Additional Information:	5826/78488
Uncontrolled Keywords:	Dynamics of potts–bethe ; Mapping of degree; ℚ5
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	17 Feb 2020 11:26
Last Modified:	15 Jul 2020 11:46
URI:	http://irep.iium.edu.my/id/eprint/78488

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