Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme

In the present paper we studied stability of the dynamical system which is related to XY-model in quantum Markov chains scheme on Cayley tree of order three. We found out all fixed points and showed an absence of periodic points. We studied the asymptotical behavior of the trajectory of the dynamica...

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Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Format: Proceeding Paper
Language:English
Published: Institut Matematik Kejuruteraan, Universiti Malaysia Perlis 2010
Subjects:
Online Access:http://irep.iium.edu.my/1603/1/mfms-RCAEM%282010%29.pdf
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author Mukhamedov, Farrukh
Saburov, Mansoor
author_facet Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Mukhamedov, Farrukh
collection IIUM
description In the present paper we studied stability of the dynamical system which is related to XY-model in quantum Markov chains scheme on Cayley tree of order three. We found out all fixed points and showed an absence of periodic points. We studied the asymptotical behavior of the trajectory of the dynamical system.
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institution International Islamic University Malaysia
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spelling oai:generic.eprints.org:16032011-11-30T07:33:59Z http://irep.iium.edu.my/1603/ Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In the present paper we studied stability of the dynamical system which is related to XY-model in quantum Markov chains scheme on Cayley tree of order three. We found out all fixed points and showed an absence of periodic points. We studied the asymptotical behavior of the trajectory of the dynamical system. Institut Matematik Kejuruteraan, Universiti Malaysia Perlis 2010 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/1603/1/mfms-RCAEM%282010%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2010) Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme. In: Regional Conference on Applied and Engineering Mathematics 2010, Penang, Malaysia, 2-3 June, 2010. http://publicweb.unimap.edu.my/~rcaem2010/
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Saburov, Mansoor
Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
title Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
title_full Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
title_fullStr Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
title_full_unstemmed Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
title_short Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
title_sort stability of a dynamical system related to xy model in quantum markov chains scheme
topic QA Mathematics
url http://irep.iium.edu.my/1603/1/mfms-RCAEM%282010%29.pdf
work_keys_str_mv AT mukhamedovfarrukh stabilityofadynamicalsystemrelatedtoxymodelinquantummarkovchainsscheme
AT saburovmansoor stabilityofadynamicalsystemrelatedtoxymodelinquantummarkovchainsscheme