Transport properties in the discontinuous dissipative standard mapping


  • Juliano A. de Oliveira
  • Rodrigo M. Perre
  • J. A. Méndez-Bermúdez
  • Edson D. Leonel


The dissipative two-dimensional nonlinear mapping that describes a kicked rotator given by a rigid bar of length L with one end attached by a pivot and the other end subjected to a vertical and periodic impulsive discontinuous force has the following form [1] In+1 = (1 − γ)In + kf (θn ) sin(θn ), T : (1) θn+1 = [θn + In+1 ] mod (2π) where I and θ are the action and angle variables, k and γ are control parameters responsible for controlling the intensity of nonlinearity and dissipation respectively. Figure 1 shows the phase space using control parameters k = 102 and γ = 10−3 which we observe chaotic attractors. The I ∗ is an approximation of the maximum value of the chaotic attractors. [...]


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Biografia do Autor

Juliano A. de Oliveira

UNESP, São João da Boa Vista, SP

Rodrigo M. Perre

UNESP, São João da Boa Vista, SP

J. A. Méndez-Bermúdez

Benemérita Universidad Autônoma de Puebla, Mexico

Edson D. Leonel

UNESP, Rio Claro, SP


R. M. Perre, B. P. Carneiro, J.A. Méndez-Bermúdez, Leonel E. D. e de Oliveira J. A. “On the dynamics of two-dimensional dissipative discontinuous maps”. Em: Chaos Solitons and Fractals 131 (2020), pp. 109520-1–109520-4. doi: 10.1016/j.chaos.2019.109520.

J. A. de Oliveira, D. R. da Costa e Leonel E. D. “Survival probability for chaotic particles in a set of area preserving maps”. Em: The European Physical Journal Special Topics 225 (2016), pp. 2751–2761. doi: 10.1140/epjst/e2015-50330-y.