2004•Journal of the Korea Society for Industrial and Applied MathematicsRequires access

ROTATION NUMBER OF A CIRCLE HOMEOMORPHISM

Bong‐Jo Kim

Abstract

We knew attractive qualities of a rotation number for an analytic dif-feomorphism, for example, Arnold tongues and staircase. Numerical computer simulation let us know easily that the pattern of rotation number of a non analytic homeomorphism is similar to its of an analytic homeomorphism for some cases. Also we define new rotation function and investigate it's properties.

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Key concepts: Rotation number, Homeomorphism (graph theory), Rotation (mathematics), Mathematics, Function (biology), Topology (electrical circuits), Combinatorics, Geometry