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

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	5537/1603
Uncontrolled Keywords:	XY-model; Dynamical systems; fixed points; stability of the dynamical system
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. Farrukh Mukhamedov
Date Deposited:	06 Sep 2011 16:13
Last Modified:	30 Nov 2011 15:33
URI:	http://irep.iium.edu.my/id/eprint/1603

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