Twist systems on the interval

• Autorzy: Jozef Bobok
• Języki publikacji: EN

Abstrakty

EN

Let I be a compact real interval and let f:I → 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.

Kategorie tematyczne

• 37A05: Measure-preserving transformations
• 26A18: Iteration
• 37E45: Rotation numbers and vectors
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 175
• Numer: 2
• Strony: 97-117

Daty

wydano

2002

Twórcy

autor

Jozef Bobok

• KM FSv. ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic

Identyfikatory

DOI

10.4064/fm175-2-1