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Time-dependent properties in two-dimensional and Hamiltonian mappings

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Abstract

Some scaling properties for chaotic orbits in a family of two-dimensional Hamiltonian mappings are studied. The phase space of the model exhibits chaos and may have mixed structure with periodic islands, chaotic seas and invariant spanning curves. Average properties of the action variable in the chaotic sea are obtained as a function of time (t). From scaling arguments, critical exponents for the ensemble average of the action variable are obtained. Scaling invariance is obtained as a function of the control parameter that controls the intensity of the nonlinearity.

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Authors and Affiliations

  1. Instituto de Física da USP, Cidade Universitária, 05314-970, São Paulo, SP, Brazil

    A. L. P. Livorati

  2. Câmpus São João da Boa Vista, São João da Boa Vista SP, UNESP, Univ. Estadual Paulista, São Paulo, Brazil

    J. A. de Oliveira

  3. Departamento de Física e Matemática, Univ. Federal de São João del-Rei, UFSJ, Rod. MG 443, Km 7, Fazenda do Cadete, 36420-000, Ouro Branco, MG, Brazil

    D. G. Ladeira

  4. câmpus de Rio Claro, IGCE, Departamento de Física, UNESP, Univ. Estadual Paulista, Av. 24A, 1515, Bela Vista, CEP, 13506-900, Rio Claro, SP, Brazil

    E. D. Leonel

Authors
  1. A. L. P. Livorati
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  2. J. A. de Oliveira
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  3. D. G. Ladeira
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  4. E. D. Leonel
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Correspondence to A. L. P. Livorati.

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Livorati, A.L.P., de Oliveira, J.A., Ladeira, D.G. et al. Time-dependent properties in two-dimensional and Hamiltonian mappings. Eur. Phys. J. Spec. Top. 223, 2953–2958 (2014). https://doi.org/10.1140/epjst/e2014-02308-6

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  • DOI: https://doi.org/10.1140/epjst/e2014-02308-6

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