Study on Properties of Expanded Sturmian Sequences

Abstract:

Symbolic dynamics is an iterative system that is generated by a shift on a finite symbolic space. It is a special kind of dynamics. Symbolic dynamics has a lot of theoretical and practical applications in many fields such as physics, computer and so on, so it is important to study its dynamical behavior.Sturmian system that is generated by Sturmian sequences is the least complex kind of symbolic dynamics. In the present paper Sturmian sequences are expanded which make them generality. In fact expanded Sturmian sequences share many of properties of Sturmian sequences, but they cannot completely take place of Sturmian sequences. It appears to make a difference between them. It is of value to study expanded Sturmian sequences.

• Periodical: Advanced Materials Research (Volumes 756-759)
• Pages: 1536-1540
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.756-759.1536
• Online since: September 2013
• Authors: Li Hua Sun, En Liang Zhao, Yan Ling Sun
• Keywords: Cell-Period, Cell-Sequence, Chain, Series, Sturmian Sequence

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