De Oliveira, Juliano A. [UNESP]Leonel, Edson D. [UNESP]2014-05-272014-05-272011-10-15Physica A: Statistical Mechanics and its Applications, v. 390, n. 21-22, p. 3727-3731, 2011.0378-4371http://hdl.handle.net/11449/72746The 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.3727-3731engChaosCritical exponentsScaling lawsChaotic seaCritical exponentDynamical variablesInvariant toriMixed phasePhase spacesHamiltoniansPhase space methodsTwo dimensionalMappingLocating invariant tori for a family of two-dimensional Hamiltonian mappingsArtigo10.1016/j.physa.2011.06.040Acesso aberto2-s2.0-800549161822-s2.0-80054916182.pdf6130644232718610