Open Access
Original Articles
Complete Semi-Dynamical Systems
M.R. Molaeimrmolaei@mail.uk.ac.irDepartment of Mathematics, Shahid Bahonar University of KermanDepartment of Mathematics, Islamic Azad University, Bardsir BranchKerman, 76169–14111, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 24 Jul 2004
- Published Online:
- 01 Jan 2005
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2005.10698492
- Pages:
- 95–107
Abstract
In this paper generalized vector fields are studied. The notion of left invariant vector fields is extended by the use of top spaces. As a result a new kind of dynamics is extrapolated. By the topological properties of topological generalized groups, topological complete semi-dynamical systems are studied. A method for constructing a complete semi-dynamical system on a generalized coset space is deduced. An application in the genetic space and the whether system axe considered.
Keywords
References
Araujo, J. and Konieczny, J.Molaei’s Generalized Groups are Completely Simple Semígroupes, Buletinul Institului Polithnic Din Iasi . (to appear) Clifford, A.H.1941 . Semi-groups Admitting Relative Inverse . Annals of Mathematics, 42 ( 4 ) : 1037 – 1049 . Clifford, A.H. and Preston, G.B.1964 . “ The Algebraic Theory of Semigroups ” . In American Mathematical SocietyGuckenhęimer, J. and Williams, R.F.1979 . Structural Stability of Lorenz Attractors . Publ. Math. IHES, 50 : 59 – 72 . Hofmann, K.H. and Mostert, P.S.1966 . Elements of Compact Semigroups, Charles E. Merrill Books, Inc . Honary, B. and Molaei, M.R.1999 . Positive Lyapunov Exponents for a Class of One-Parameter Famillies of Maps . Hadronic Journal, 22 : 219 – 224 . Howie, J.M.1978 . An Introduction to Semi-group Theory, Academic Press INC (London) LTD . Howie, J.M.1995 . Fundamental of Semigroup Theory, Oxford University Press . Lorenz, E.N.1963 . Deterministic Nonperiodic Flow . J. Atmosph. Sci., 20 : 130 – 141 . Luzzatto, S. and Viana, M.1999 . Positive Lyapunov Exponents for Lorenz-like Maps with Criticalities . Astérisque, Mehrabi, M., Molaei, M.R. and Oloomi, A.2000 . Generalized Subgroups and Homomorphisms . Arab Journal of Mathematical Sciences, 6 ( 2 ) : 1 – 8 . Molaei, M.R.Generalized Groups . International Conference on Algebra . , Vol. XLV , pp. 21 – 24 . Tomul: Buletinul Institutului Politehnic Din Iasi . 1998, (XLIX) Molaei, M.R.2000 . Topological Generalized Groups . International Journal of Pure and Applied Mathematics, 2 ( 9 ) : 1055 – 1060 . Molaei, M.R.2004 . Top Spaces . Journal of Interdisciplinary Mathematics, 7 ( 2 ) : 173 – 181 . Smale, S.1998 . Mathematical Problems for the Next Century . The Mathematical Inteligencer, 20 ( 2 ) : 7 – 15 . Tucker, W.1999 . The Lorenz Attractor Exists, Série I, Mathématique Vol. 328 , 1197 – 1202 . Paris: C.R. Acad, Sci . Vagner, V.1952 . Generalized Groups, Doklady Akademi Nauk SSSR Vol. 84 , 1119 – 1122 . (Wagner), (Russian) Viana, M.2000 . What’s New on Lorenz Strange Attractors? . The Mathematical Inteligencer, 23 ( 3 ) : 6 – 19 .
Views: 8Downloads: 1Citations: 2
