On periodic orbits in discrete-time cascade systems.
Li, Huimin, Yang, Xiao-Song (2006)
Discrete Dynamics in Nature and Society
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Li, Huimin, Yang, Xiao-Song (2006)
Discrete Dynamics in Nature and Society
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There is an open set of right triangles such that for each irrational triangle in this set (i) periodic billiards orbits are dense in the phase space, (ii) there is a unique nonsingular perpendicular billiard orbit which is not periodic, and (iii) the perpendicular periodic orbits fill the corresponding invariant surface.
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