The dynamics of some extreme doubly stochastic quadratic operators
We provide an example of Lyapunov for doubly stochastic operators on a finite dimensional simplex. Besides we study the limit behavior of the trajectories of some extreme doubly stochastic operators on two dimensional simplex. We prove that except for certain points the trajectories of extreme do...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
IDOSI Publications
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/31770/ http://irep.iium.edu.my/31770/ http://irep.iium.edu.my/31770/1/The_Dynamics.pdf http://irep.iium.edu.my/31770/4/31770%20Dynamics%20SCOPUS.pdf |
| Summary: | We provide an example of Lyapunov for doubly stochastic operators on a finite dimensional
simplex. Besides we study the limit behavior of the trajectories of some extreme doubly stochastic
operators on two dimensional simplex. We prove that except for certain points the trajectories of extreme
doubly stochastic operators tend to the center of two dimensional simplex. |
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