Dynamics of potts–bethe mapping of degree four on ℚ5

Dynamics of potts–bethe mapping of degree four on ℚ5

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...

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Main Authors: Ahmad, Mohd Ali Khameini, Pah, Chin Hee, Saburov, Mansoor
Format: Conference or Workshop Item
Language:English
English
Published: American Institute of Physics Inc. 2019
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/78488/
http://irep.iium.edu.my/78488/
http://irep.iium.edu.my/78488/
http://irep.iium.edu.my/78488/18/78488_Dynamics%20of%20potts%E2%80%93bethe%20mapping%20of%20degree_complete_latest.pdf
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spelling iium-784882020-02-17T03:47:30Z http://irep.iium.edu.my/78488/ Dynamics of potts–bethe mapping of degree four on ℚ5 Ahmad, Mohd Ali Khameini Pah, Chin Hee Saburov, Mansoor QA Mathematics 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. American Institute of Physics Inc. 2019-12-04 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/78488/18/78488_Dynamics%20of%20potts%E2%80%93bethe%20mapping%20of%20degree_complete_latest.pdf application/pdf en http://irep.iium.edu.my/78488/7/78488_Dynamics%20of%20potts%E2%80%93bethe%20mapping%20of%20degree_scopus.pdf 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 December 2018, Penang. https://aip.scitation.org/doi/pdf/10.1063/1.5136355 10.1063/1.5136355
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Ahmad, Mohd Ali Khameini
Pah, Chin Hee
Saburov, Mansoor
Dynamics of potts–bethe mapping of degree four on ℚ5
description 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.
format Conference or Workshop Item
author Ahmad, Mohd Ali Khameini
Pah, Chin Hee
Saburov, Mansoor
author_facet Ahmad, Mohd Ali Khameini
Pah, Chin Hee
Saburov, Mansoor
author_sort Ahmad, Mohd Ali Khameini
title Dynamics of potts–bethe mapping of degree four on ℚ5
title_short Dynamics of potts–bethe mapping of degree four on ℚ5
title_full Dynamics of potts–bethe mapping of degree four on ℚ5
title_fullStr Dynamics of potts–bethe mapping of degree four on ℚ5
title_full_unstemmed Dynamics of potts–bethe mapping of degree four on ℚ5
title_sort dynamics of potts–bethe mapping of degree four on ℚ5
publisher American Institute of Physics Inc.
publishDate 2019
url http://irep.iium.edu.my/78488/
http://irep.iium.edu.my/78488/
http://irep.iium.edu.my/78488/
http://irep.iium.edu.my/78488/18/78488_Dynamics%20of%20potts%E2%80%93bethe%20mapping%20of%20degree_complete_latest.pdf
http://irep.iium.edu.my/78488/7/78488_Dynamics%20of%20potts%E2%80%93bethe%20mapping%20of%20degree_scopus.pdf
first_indexed 2023-09-18T21:50:35Z
last_indexed 2023-09-18T21:50:35Z
_version_ 1777413741730594816

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