Open Access
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Attractors in Relative Semi-Dynamical Systems
Mehdi Fatehi Niafatehiniam@yazd.ac.irDepartment of MathematicsYazd UniversityYazd, P. O. Box 89195-741, IranView full profile → , Vahideh Jafariv.jafari@vru.ac.irDepartment of mathematicsVALI-E-ASR University of RafsanjanRafsanjan, P. O. Box 7713936417, IranView full profile →
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- Received:
- 21 Oct 2013
- Accepted:
- 17 Dec 2013
- Published Online:
- 08 Jul 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.917830
- Pages:
- 1–10
Abstract
In this paper we present a new concept of ω–limit set and attracting set. Relative semi-dynamical system and some of its properties are presented. Relative semi-attractor set is considered. semi-attractor is a natural generalization of the concept of attractor in the work of Huang Tusen [9].
References
- C.Conley. The Gradiant Structure of a Flow , Ergodic Theory and Dynamical Systems , Vol. 8 , 11 – 26 ( 1998 ).
- HuFan-Nu, ZhengZuo-Huan, Some Properties of the Isolated Invariant Set of a Flow , Chaos; Solitons and Fractals , Vol. 16 , 685 – 689 ( 2003 ).
- JohnGuckenheimer, PhilipHolmes, Nonlinear Oscillations, Dynamical systems, and Bifurcations of Vector Fields , Applied Mathematical Sciences 42 , Springer-Verlag : New York, Heidelberg, Berlin , 1990 .
- Yuri A.Kuznetsov, Elements of Applied Bifurcation Theory , Springer-Verlag : New York, Heidelberg, Berlin, 1995 .
- M.R.Molaei, Observational Modeling of Topological Spaces , Chaos; Solitons and Fractals , Vol. 42 , 615 – 619 ( 2009 ).
- M.R.Molaei, Relative Semi-Dynamical Systems , International Journal of Uncertainty, Fuzziness and Knowledge-based Systems , Vol. 12 , Number 2 , 237 – 243 ( 2004 ).
- M.R.Molaei, M.R.Hoseini Anvari, Relative Manifolds , Intelligent Automation and Soft Computing , Vol. 14 , Number 2 , 219 – 226 ( 2008 ).
- Sh.Salili, M.R.Molaei, A New Approach to Fuzzy Topological Spaces , Hadronic Journal , Vol. 25 , 81 – 90 ( 2000 ).
- HuangTusen, Some Properties of Attractors and Qusi-Attractors , Chaos; Solitons and Fractals Vol. 34 , 531 – 537 ( 2004 ).
- HuangTusen, ZhangQi, A Criterion on Compactness of the Set of Bounded Solutions , Chaos; Solitons and Fractals , Vol. 21 , 983 – 988 ( 2004 ).
- ZhengZuo-Huan and HuFan-Nu, The Existence of Attractors and Strongly Gradient-Like Flows , Chaos; Solitons and Fractals , Vol. 18 , 681 – 685 ( 2003 ).
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