6533b86ffe1ef96bd12cdeb7
RESEARCH PRODUCT
A fractal set from the binary reflected Gray code
J RosJ A Oteosubject
Discrete mathematicsPermutation (music)FísicaGeneral Physics and AstronomyBinary numberFOS: Physical sciencesStatistical and Nonlinear PhysicsNonlinear Sciences - Chaotic DynamicsDecimalGray codeSet (abstract data type)FractalAttractorPoint (geometry)Chaotic Dynamics (nlin.CD)Mathematical PhysicsMathematicsdescription
The permutation associated with the decimal expression of the binary reflected Gray code with $N$ bits is considered. Its cycle structure is studied. Considered as a set of points, its self-similarity is pointed out. As a fractal, it is shown to be the attractor of a IFS. For large values of $N$ the set is examined from the point of view of time series analysis
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-01-01 |