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

Juliano A. de Oliveira and Edson D. Leonel

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 21, 3727-3731

Abstract: 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.

Keywords: Chaos; Scaling laws; Critical exponents (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:21:p:3727-3731

DOI: 10.1016/j.physa.2011.06.040

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