Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors.
Mestel, B.D., Osbaldestin, A.H. (2000)
Mathematical Physics Electronic Journal [electronic only]
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Displaying similar documents to “The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero”
Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors.
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Annales de l’institut Fourier
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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.
Periods and entropy for Lorenz-like maps
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Annales de l'institut Fourier
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We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.