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Fine structure in the scaling of type-I intermittency bifurcations

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  • de S. Cavalcante, Hugo L.D.
  • Leite, J.R.Rios

Abstract

Tangent bifurcations in maps with type-I intermittency have been studied numerically and oscillations in the statistical properties were found as functions of the control parameter. The average length of laminar events, the Lyapunov exponent and the averages of the dynamical variable were calculated for quadratic and quartic normal form tangencies. In addition to the exponents of the monotonic critical behavior, the frequency of the oscillations is also simply related to the nonlinear term of the maps.

Suggested Citation

  • de S. Cavalcante, Hugo L.D. & Leite, J.R.Rios, 2004. "Fine structure in the scaling of type-I intermittency bifurcations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 356-362.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:356-362
    DOI: 10.1016/j.physa.2004.04.094
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    References listed on IDEAS

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    1. de S. Cavalcante, Hugo L.D & Vasconcelos, Giovani L & Rios Leite, José R, 2001. "Power law periodicity in the tangent bifurcations of the logistic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 291-296.
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