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Symbolic dynamics and the discrete variational principle
- Source :
- Journal of Physics A: Mathematical and General. 31:9065-9072
- Publication Year :
- 1998
- Publisher :
- IOP Publishing, 1998.
-
Abstract
- We show how to construct symbolic dynamics for the class of 2d-dimensional twist mappings generated by piecewise strictly convex/concave generating functions. The method is constructive and gives an efficient way to find all periodic orbits of these high-dimensional symplectic mappings. It is illustrated with the cardioid and the stadium billiard.
- Subjects :
- Pure mathematics
Mathematical analysis
Symbolic dynamics
General Physics and Astronomy
Statistical and Nonlinear Physics
Constructive
Nonlinear Sciences::Chaotic Dynamics
Cardioid
Variational principle
Piecewise
Dynamical billiards
Convex function
Mathematical Physics
Symplectic geometry
Mathematics
Subjects
Details
- ISSN :
- 13616447 and 03054470
- Volume :
- 31
- Database :
- OpenAIRE
- Journal :
- Journal of Physics A: Mathematical and General
- Accession number :
- edsair.doi...........09fd170b43c18eb97e4c68c7512da4fa