Geodesic
Twist systems on the interval
Jozef Bobok1
1 KM FSv. ČVUT Thákurova 7 166 29 Praha 6, Czech Republic
Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 97-117

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let\/ $I$ be a compact real interval and let $f:I\rightarrow I$ be continuous. We describe an interval analogy of the irrational circle rotation that occurs as a subsystem of the dynamical system $(I,f)$—we call it an irrational twist system. Using a coding we show that any irrational twist system is strictly ergodic. We also prove that irrational twist systems exist as subsystems of a large class of systems $(I,f)$ having a cycle of odd period greater than one.
DOI : 10.4064/fm175-2-1
Keywords: compact real interval rightarrow continuous describe interval analogy irrational circle rotation occurs subsystem dynamical system call irrational twist system using coding irrational twist system strictly ergodic prove irrational twist systems exist subsystems large class systems having cycle odd period greater

Jozef Bobok 1

1 KM FSv. ČVUT Thákurova 7 166 29 Praha 6, Czech Republic 
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Jozef Bobok. Twist systems on the interval. Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 97-117. doi: 10.4064/fm175-2-1

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