Article ID Journal Published Year Pages File Type
10734388 Chaos, Solitons & Fractals 2005 10 Pages PDF
Abstract
We prove a quantitative recurrence result which allow to estimate the speed of approaching of a generic orbit to the discontinuities of a map. This result is applied to the study of complexity indicators for individual orbits generated by a certain zero-entropy discontinuous maps which are related to polygonal billiards and quantum chaos.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
Recurrence near given sets and the complexity of the Casati-Prosen map
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