Remarks on the characterization of periods of alternated systems
| Autor: | J. S. Cánovas Peña, A. Linero Bas, G. Soler López |
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| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Algebra and Number Theory Coprime integers Applied Mathematics 010102 general mathematics Structure (category theory) Periodic point Characterization (mathematics) 01 natural sciences 010101 applied mathematics Combinatorics Order (group theory) Interval (graph theory) 0101 mathematics Analysis Mathematics |
| Zdroj: | Journal of Difference Equations and Applications. 22:1512-1523 |
| ISSN: | 1563-5120 1023-6198 |
| DOI: | 10.1080/10236198.2016.1213822 |
| Popis: | In this note we correct a mistake inside the paper “Periodic structure of alternating continuous interval maps” (J. Differ. Equ. Appl. 12 (2006), pp. 847–858), concerning the characterization of periodic points having an odd order m greater than 1 for the alternated system [f1,f2], and then we establish a correct formulation for the combinatorial characterization of its even periods 2m. Moreover we give a new combinatorial characterization of the periods of order m of an alternated system [f1,f2,⋯,fp] with p and m coprime. |
| Databáze: | OpenAIRE |
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