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: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
Institut Matematik Kejuruteraan, Universiti Malaysia Perlis
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1603/1/mfms-RCAEM%282010%29.pdf http://irep.iium.edu.my/1603/ http://publicweb.unimap.edu.my/~rcaem2010/ |
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| Summary: | 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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