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Original Articles
Topological Conjugacy of Relative Topological Dynamics
M.R. Molaeimrmolaei@mail.uk.ac.irDepartment of Mathematics, University of Kerman (Shahid Bahonar)Department of Mathematics, Islamic Azad University, Bardsir BranchKerman, 76169–14111, IranView full profile → , B. Ghazanfaribahman_ghazanfari@yahoo.comDepartment of Mathematics, Lorestan UniversityDepartment of Mathematics Faculty of Science, Lorestan UniversityKhoramabad, 68137–17133, IranView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2009.10698565
- Pages:
- 81–90
Abstract
In this paper the notion of topological conjugacy from the viewpoint of an observer is considered. Relative minimality, relative transitivity and relative expansiveness are studied. It is proved that: these concepts are invariant up to a relative topological conjugate relation.
Keywords
References
Ghazanfari, B. and Molaei, M.R.2006 . Relative Topological Dynamics . Differential Geometry, Dynamical Systems, 8 Anvari, M.H. and Molaei, M.R.2005 . Genomic from the Viewpoint of Observational Modeling . WSEAS Transactions on Biology and Biomedicine, 2 ( 2 ) : 228 – 234 . Molaei, M.R.2004 . Relative Semi-dynamical Systems . International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, 12-2 : 237 – 243 . Molaei, M.R., Anvari, M.R. and Haqiri, T.2007 . On Relative Semi-dynamical Systems . Intelligent Automation and Soft Computing, 13 ( 4 ) : 405 – 413 . Molaei, M.R. and Anvari, M.R.. 2008 . Relative Manifolds . Intelligent Automation and Soft Computing, 14 ( 2 ) : 213 – 220 . Salili, Sh. and Molaei, M.R.2000 . A New Approach to Fuzzy Topological Spaces . Hadronic Journal, 25 : 81 – 90 .
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