On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree

On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree

In the present paper, we study stability of the dynamical system corresponding quantum Markov chain (QMC) associated with the Ising model on Cayley tree of order two. To study certain properties of QMC we reduce our investigation to the study of dynamics of a nonlinear dynamical system. For such a d...

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Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Format: Article
Language:English
Published: INSI Publications 2011
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/1610/
http://irep.iium.edu.my/1610/
http://irep.iium.edu.my/1610/1/mfms-AustJMS%282011%29.pdf
id iium-1610
recordtype eprints
spelling iium-16102012-12-28T06:31:40Z http://irep.iium.edu.my/1610/ On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In the present paper, we study stability of the dynamical system corresponding quantum Markov chain (QMC) associated with the Ising model on Cayley tree of order two. To study certain properties of QMC we reduce our investigation to the study of dynamics of a nonlinear dynamical system. For such a dynamical system it is proved existence of exactly three fixed points and absence of periodic points. Moreover, it is established finiteness and infiniteness of the trajectory of the system. INSI Publications 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1610/1/mfms-AustJMS%282011%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2011) On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree. Australian Journal of Basic and Applied Sciences, 5 (3). pp. 20-27. ISSN 1991-8178 http://www.insipub.com/ajbas_march_2011.html
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Saburov, Mansoor
On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
description In the present paper, we study stability of the dynamical system corresponding quantum Markov chain (QMC) associated with the Ising model on Cayley tree of order two. To study certain properties of QMC we reduce our investigation to the study of dynamics of a nonlinear dynamical system. For such a dynamical system it is proved existence of exactly three fixed points and absence of periodic points. Moreover, it is established finiteness and infiniteness of the trajectory of the system.
format Article
author Mukhamedov, Farrukh
Saburov, Mansoor
author_facet Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Mukhamedov, Farrukh
title On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
title_short On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
title_full On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
title_fullStr On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
title_full_unstemmed On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
title_sort on dynamical system relating to quantum markov chain associated with ising model on cayley tree
publisher INSI Publications
publishDate 2011
url http://irep.iium.edu.my/1610/
http://irep.iium.edu.my/1610/
http://irep.iium.edu.my/1610/1/mfms-AustJMS%282011%29.pdf
first_indexed 2023-09-18T20:09:00Z
last_indexed 2023-09-18T20:09:00Z
_version_ 1777407351579475968

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