Badly ordered periodic orbits of the standard map
โ Scribed by I. Leage; R.S. Mackay
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 243 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0375-9601
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๐ SIMILAR VOLUMES
Iterations of a special one-dimensional map (trapezoid map) which is a piecewise linear map with a flat top are studied. Using a symbolic dynamical method, it is shown that the stable periodic orbits of the map are characterized as finite shift maximal sequences in the sense extended by Sun and Helm
Some number theoretical aspects on periodic orbits of a one-dimensional dynamical system \(x_{n+1}=f\left(x_{n}\right)\) are presented, where \(f(x)\) is a special map called a tent map. Using the symbolic dynamical method, a certain number theoretical transformation and a subset of odd integers are