Locating invariant tori for a family of two-dimensional Hamiltonian mappings

Submitted by Vitor Silverio Rodrigues (vitorsrodrigues@reitoria.unesp.br) on 2014-05-27T11:26:05Z No. of bitstreams: 0Bitstream added on 2014-05-27T14:47:23Z : No. of bitstreams: 1 2-s2.0-80054916182.pdf: 415307 bytes, checksum: f1de55c13d0c9537402066a956d60fb5 (MD5) Made available in DSpace on 2014-05-27T11:26:05Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-10-15 The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set of invariant tori. Given the mapping considered is parameterised by an exponent γ in one of the dynamical variables, a connection with the standard mapping near a transition from local to global chaos is used to estimate the position of the invariant tori limiting the size of the chaotic sea for different values of the parameter γ. © 2011 Elsevier B.V. All rights reserved. Departamento de Estatística Matemat. Apl. e ComputaoInstituto de Geociências e Ciências Exatas UNESP Univ Estadual Paulista, Av.24A, 1515Bela Vista, CEP: 13506-900 Rio Claro SP Departamento de Estatística Matemat. Apl. e ComputaoInstituto de Geociências e Ciências Exatas UNESP Univ Estadual Paulista, Av.24A, 1515Bela Vista, CEP: 13506-900 Rio Claro SP