The Structure of Disjoint Iteration Groups on the Circle

DOI10.1023/B:CMAJ.0000027254.04824.0czbMath1047.37024MaRDI QIDQ4814521

Krzysztof Ciepliński

Publication date: 7 September 2004

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30844

zbMATH Keywords

limit setorbitdegreerotation numberperiodic pointsystem of functional equationsorientation-preserving homeomorphismiteration group

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Other groups related to topology or analysis (20F38) Rotation numbers and vectors (37E45)

Related Items

Schröder equation and commuting functions on the circle ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ General Construction of Non-Dense Disjoint Iteration Groups on the Circle

Cites Work

• The structure of iteration groups of continuous functions
• On the structure of some flows on the unit circle
• On some invariants of conjugacy of disjoint iteration groups
• TOPOLOGICAL CONJUGACY OF DISJOINT FLOWS ON THE CIRCLE
• On a System of Schröder Equations on the Circle
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item