Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space
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Data
2020-12-01
Autores
da Costa, Diogo Ricardo [UNESP]
Palmero, Matheus S.
Méndez-Bermúdez, J. A.
Iarosz, Kelly C.
Szezech, José D.
Batista, Antonio M.
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Resumo
Mushroom billiards are formed, generically, by a semicircular hat attached to a rectangular stem. The dynamics of mushroom billiards shows a continuous transition from integrability to chaos. However, between those limits the phase space is sharply divided in two components corresponding to regular and chaotic orbits, in contrast to most mixed phase space billiards. In this paper we show that tilting the hat of a mushroom billiard produces a highly non-trivial (i.e. non-KAM) mixed phase space. Moreover, for small tilting, this phase space shows a web-like hierarchical structure.
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Chaos, Mushroom billiards, Nonlinear dynamics
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Communications in Nonlinear Science and Numerical Simulation, v. 91.