Author(s): da Costa, Diogo Ricardo [UNESP] ; Palmero, Matheus S. ; Méndez-Bermúdez, J. A. ; Iarosz, Kelly C. ; Szezech, José D. ; Batista, Antonio M.
Date: 2020
Persistent ID: http://hdl.handle.net/11449/200791
Origin: Oasisbr
Subject(s): Chaos; Mushroom billiards; Nonlinear dynamics; Chaos; Chaos; Mushroom billiards; Mushroom billiards; Nonlinear dynamics; Nonlinear dynamics
Made available in DSpace on 2020-12-12T02:16:10Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-12-01
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Vicerrectoría de Investigación y Estudios de Posgrado, Benemérita Universidad Autónoma de Puebla
Secretaría de Educación Pública
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.
Institute of Mathematics and Statistics University of São Paulo
Postgraduate program in Science/Physics State University of Ponta Grossa (UEPG)
Institute of Physics University of São Paulo (USP)
Departamento de Matemática Aplicada e Estatística Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo - Campus de São Carlos, Caixa Postal 668
Instituto de Física Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48
Graduate Program in Chemical Engineering Federal Technological University of Paraná
Departament of Mathematics and Statistics State University of Ponta Grossa (UEPG)
Departamento de Física Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Campus Rio Claro, Av. 24A, 1515
Departamento de Física Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Campus Rio Claro, Av. 24A, 1515
Vicerrectoría de Investigación y Estudios de Posgrado, Benemérita Universidad Autónoma de Puebla: 100405811-VIEP2019
FAPESP: 2015/07311-7
FAPESP: 2018/03000-5
FAPESP: 2018/03211-6
FAPESP: 2019/06931-2
FAPESP: 2020/02415-7
Secretaría de Educación Pública: 511-6/2019.-11821
