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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/1610/1/mfms-AustJMS%282011%29.pdf
http://irep.iium.edu.my/1610/
http://www.insipub.com/ajbas_march_2011.html
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/1610/1/mfms-AustJMS%282011%29.pdf
http://irep.iium.edu.my/1610/
http://www.insipub.com/ajbas_march_2011.html
_version_ 1643604820612874240
score 13.2014675

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