## Constructing complete chaotic maps with reciprocal structures.(English)Zbl 1134.37336

Summary: A class of unimodal complete chaotic maps $$f=\{f_{L},f_{R}\}$$ with reciprocal functional forms $$(f_{R}=1/f_{L})$$ are examined. The necessary and sufficient conditions are provided to construct such maps. The theoretical conclusions are then verified by numerical simulations.

### MSC:

 37E05 Dynamical systems involving maps of the interval 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 37A05 Dynamical aspects of measure-preserving transformations 37B99 Topological dynamics
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