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Combinatorics on words in symbolic dynamics: the antisymmetric cubic map |
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| Authors: | Wan Ji Dai Kebo Lü Jun Wang |
| Affiliation: | (1) Dalian University of Technology, Dalian, 116024, P. R. China;(2) Department of Mathematics, Ocean University of China, Qingdao, 266071, P. R. China;(3) Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China;(4) Scientific Computing Key Laboratory, Shanghai Universities, Shanghai, 200234, P. R. China |
| Abstract: | This paper is contributed to the combinatorial properties of the periodic kneading words of antisymmetric cubic maps defined on a interval. The least words of given lengths, the adjacency relations on the words of given lengths and the parity-alternative property in some sets of such words are established. Partially supported by the National Natural Science Foundation of China (Grant No. 10731040) |
| Keywords: | combinatorics on words symbolic dynamics kneading sequence |
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