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

Author

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  • de Oliveira, Juliano A.
  • Leonel, Edson D.

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.

Suggested Citation

  • de Oliveira, Juliano A. & Leonel, Edson D., 2011. "Locating invariant tori for a family of two-dimensional Hamiltonian mappings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3727-3731.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:21:p:3727-3731
    DOI: 10.1016/j.physa.2011.06.040
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