Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space

Nenhuma Miniatura disponível
da Costa, Diogo Ricardo [UNESP]
Palmero, Matheus S.
Méndez-Bermúdez, J. A.
Iarosz, Kelly C.
Szezech, José D.
Batista, Antonio M.
Título da Revista
ISSN da Revista
Título de Volume
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.
Chaos, Mushroom billiards, Nonlinear dynamics
Como citar
Communications in Nonlinear Science and Numerical Simulation, v. 91.