On dynamics of xs quadratic stochastic operators
In this research we introduce a new class of quadratic stochastic operators called xs-QSO which are defined through coefficient of the operator from measure-theoretic (namely we are looking the coefficient as the measures which are absolute continuous or singular) point of view. We also study the...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Science Publishing Company
2012
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/23710/ http://irep.iium.edu.my/23710/ http://irep.iium.edu.my/23710/ http://irep.iium.edu.my/23710/1/mfmsaj-IJMP_CS%282012%29.pdf |
| id |
iium-23710 |
|---|---|
| recordtype |
eprints |
| spelling |
iium-237102012-12-28T06:28:09Z http://irep.iium.edu.my/23710/ On dynamics of xs quadratic stochastic operators Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum QA Mathematics In this research we introduce a new class of quadratic stochastic operators called xs-QSO which are defined through coefficient of the operator from measure-theoretic (namely we are looking the coefficient as the measures which are absolute continuous or singular) point of view. We also study the limiting behaviour of xs -QSO defined on 2D-simplex. We first describe xi-s -QSO on 2Dsimplex and classify them with respect to the conjugacy and renumeration of the coordinates. We find six non-isomorphic classes of such operators. Moreover, we investigate the behaviour of each operator from three classes and prove convergence of trajectories of these classes and study their certain properties. We showed trajectories of two classes converge to the equilibrium. For the third class, it is established only the negative trajectories converge to the equilibrium. World Science Publishing Company 2012 Article PeerReviewed application/pdf en http://irep.iium.edu.my/23710/1/mfmsaj-IJMP_CS%282012%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor and Mohd Jamal, Afifah Hanum (2012) On dynamics of xs quadratic stochastic operators. International Journal of Modern Physics: Conference Series, 9 (1). pp. 299-307. ISSN 2010-1945 http://www.worldscinet.com/ijmpcs/09/0901/open-access/S2010194512005351.pdf 10.1142/S2010194512005351 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum On dynamics of xs quadratic stochastic operators |
| description |
In this research we introduce a new class of quadratic stochastic operators called xs-QSO which
are defined through coefficient of the operator from measure-theoretic (namely we are looking the
coefficient as the measures which are absolute continuous or singular) point of view. We also
study the limiting behaviour of xs -QSO defined on 2D-simplex. We first describe xi-s -QSO on 2Dsimplex
and classify them with respect to the conjugacy and renumeration of the coordinates. We
find six non-isomorphic classes of such operators. Moreover, we investigate the behaviour of each
operator from three classes and prove convergence of trajectories of these classes and study their
certain properties. We showed trajectories of two classes converge to the equilibrium. For the third
class, it is established only the negative trajectories converge to the equilibrium. |
| format |
Article |
| author |
Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum |
| author_facet |
Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum |
| author_sort |
Mukhamedov, Farrukh |
| title |
On dynamics of xs quadratic stochastic operators |
| title_short |
On dynamics of xs quadratic stochastic operators |
| title_full |
On dynamics of xs quadratic stochastic operators |
| title_fullStr |
On dynamics of xs quadratic stochastic operators |
| title_full_unstemmed |
On dynamics of xs quadratic stochastic operators |
| title_sort |
on dynamics of xs quadratic stochastic operators |
| publisher |
World Science Publishing Company |
| publishDate |
2012 |
| url |
http://irep.iium.edu.my/23710/ http://irep.iium.edu.my/23710/ http://irep.iium.edu.my/23710/ http://irep.iium.edu.my/23710/1/mfmsaj-IJMP_CS%282012%29.pdf |
| first_indexed |
2023-09-18T20:35:51Z |
| last_indexed |
2023-09-18T20:35:51Z |
| _version_ |
1777409040045834240 |