TY - GEN
T1 - Dynamics classifications of extreme doubly stochastic quadratic operators on 2D simplex
AU - Abdulghafor, Rawad
AU - Shahidi, Farruh
AU - Zeki, Akram
AU - Turaev, Sherzod
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016
Y1 - 2016
N2 - We study the dynamics of extreme doubly stochastic quadratic operators (d.s.q.o.) on two dimensional (2D) simplex. We provide some examples of d.s.q.o. which have infinitely many fixed points. We prove that the trajectory of extreme d.s.q.o., starting at some interior point of the simplex is convergent. Finally, we classify the dynamics of all extreme points of d.s.q.o. on 2D.
AB - We study the dynamics of extreme doubly stochastic quadratic operators (d.s.q.o.) on two dimensional (2D) simplex. We provide some examples of d.s.q.o. which have infinitely many fixed points. We prove that the trajectory of extreme d.s.q.o., starting at some interior point of the simplex is convergent. Finally, we classify the dynamics of all extreme points of d.s.q.o. on 2D.
KW - Convergence and simplex
KW - Doubly stochastic quadratic operators
KW - Fixed point
KW - Trajectory
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U2 - 10.1007/978-3-319-24584-3_26
DO - 10.1007/978-3-319-24584-3_26
M3 - Conference contribution
AN - SCOPUS:84955500160
SN - 9783319245829
T3 - Lecture Notes in Electrical Engineering
SP - 323
EP - 335
BT - Advanced Computer and Communication Engineering Technology - Proceedings of ICOCOE 2015
A2 - Sulaiman, Hamzah Asyrani
A2 - Othman, Mohd Azlishah
A2 - Othman, Mohd Fairuz Iskandar
A2 - Rahim, Yahaya Abd
A2 - Pee, Naim Che
PB - Springer Verlag
T2 - 2nd International Conference on Communication and Computer Engineering, ICOCOE 2015
Y2 - 9 June 2015 through 11 June 2015
ER -