6533b85cfe1ef96bd12bd4aa
RESEARCH PRODUCT
Construction of chaotic dynamical system
Irita RumbenieceInese Bulasubject
Discrete mathematicsPure mathematicsincreasing mappingDifferential equationChaoticinfinite symbol spaceBinary numberFunction (mathematics)Space (mathematics)Nonlinear Sciences::Chaotic Dynamicstopological semi‐conjugacyModeling and SimulationQA1-939Orbit (dynamics)chaotic mappingbinary expansionUnit (ring theory)MathematicsAnalysisMathematicsCoupled map latticedescription
The first‐order difference equation xn+ 1 = f(xn ), n = 0,1,…, where f: R → R, is referred as an one‐dimensional discrete dynamical system. If function f is a chaotic mapping, then we talk about chaotic dynamical system. Models with chaotic mappings are not predictable in long‐term. In this paper we consider family of chaotic mappings in symbol space S 2. We use the idea of topological semi‐conjugacy and so we can construct a family of mappings in the unit segment such that it is chaotic. First published online: 09 Jun 2011
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-02-15 | Mathematical Modelling and Analysis |