H R Dullin 1998 J. Phys. A: Math. Gen. 31 9065 doi:10.1088/0305-4470/31/45/006
H R Dullin
Show affiliationsWe 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.
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws
Issue 45 (13 November 1998)
Received 24 March 1998, in final form 14 August 1998
H R Dullin 1998 J. Phys. A: Math. Gen. 31 9065
Henning Schomerus 1998 J. Phys. A: Math. Gen. 31 4167
Martin Sieber and Henning Schomerus 1998 J. Phys. A: Math. Gen. 31 165
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