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CHAOTIC ASPECTS OF THE SHIFT MAP ON THE BI-SIDED FULL m-SHIFT
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.5, No. 4)Publication Date: 2016-07-31
Authors : TARINI KUMAR DUTTA; ANANDARAM BURHAGOHAIN;
Page : 71-92
Keywords : Shift Space; Shift Map; Topological Transitivity; Topological Mixing; Sensitive Dependence; Zeta Function; Entropy.;
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Abstract
The aim of this paper is to study some dynamical aspects of the shift map on the bi-sided full m-shift . We mainly prove that it is Devaney chaotic (DevC), Auslander-Yorke chaotic and generically -chaotic. We also establish that has chaotic as well as modified weakly chaotic dependence on initial conditions. Further we have derived the zeta function for this map and calculated the entropy for the full m-shift.
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Last modified: 2016-08-19 20:02:01