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Positive Knots From Discrete Dynamical Systems Via Symbolic Dynamics

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Abstract

A procedure to construct positive knots motivated by symbolic dynamics is given. It is proved that the corresponding knots have a special type of positive braids, positive permutation braids. It is proved that the constructed knots are invariant under topological conjugacy, up to period five, hence they can be used to classify discrete dynamical systems. An example is given to show that topological conjugacy failed to be an invariant for closed orbits of period more than five.

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Authors and Affiliations

  1. Department of mathematics, Faculty of science, King Khalid University, Abha, Saudi Arabia, P.O. Box 9004

    E. A. Elrifai

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  1. E. A. Elrifai
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Correspondence to E. A. Elrifai.

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Elrifai, E.A. Positive Knots From Discrete Dynamical Systems Via Symbolic Dynamics. Int J Theor Phys 44, 1337–1345 (2005). https://doi.org/10.1007/s10773-005-4769-8

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  • DOI: https://doi.org/10.1007/s10773-005-4769-8

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