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Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps
(2016-05-20)
The critical dynamics near the transition from unlimited to limited action diffusion for two families of well known dissipative nonlinear maps, namely the dissipative standard and dissipative discontinuous maps, is ...
On the dynamics of two-dimensional dissipative discontinuous maps
(2020-02-01)
Some dynamical properties for a dissipative two-dimensional discontinuous standard mapping are considered. The mapping, in action-angle variables, is parameterized by two control parameters; namely, k ≥ 0 controlling the ...
Dynamical properties of a dissipative discontinuous map: A scaling investigation
(Elsevier B.V., 2013-12-13)
The effects of dissipation on the scaling properties of nonlinear discontinuous maps are investigated by analyzing the behavior of the average squared action < I-2 > as a function of the n-th iteration of the map as well ...
A family of dissipative two-dimensional mappings: Chaotic, regular and steady state dynamics investigation
(Elsevier B.V., 2014-02-01)
Some dynamical properties for a family of two dimensional mappings controlled by three parameters are considered in this paper. For null dissipation and depending on the other control parameters, diffusion in phase space ...
Statistical properties of a dissipative kicked system: Critical exponents and scaling invariance
(Elsevier B.V., 2012-01-16)
A new universal empirical function that depends on a single critical exponent (acceleration exponent) is proposed to describe the scaling behavior in a dissipative kicked rotator. The scaling formalism is used to describe ...
Statistical properties of a dissipative kicked system: Critical exponents and scaling invariance
(Elsevier B.V., 2012-01-16)
A new universal empirical function that depends on a single critical exponent (acceleration exponent) is proposed to describe the scaling behavior in a dissipative kicked rotator. The scaling formalism is used to describe ...
Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
(Mdpi Ag, 2013-10-01)
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is ...
THE EFFECT of WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING
(World Scientific Publ Co Pte Ltd, 2012-10-01)
The influence of weak dissipation and its consequences in a two-dimensional mapping are studied. The mapping is parametrized by an exponent gamma in one of the dynamical variables and by a parameter delta which denotes the ...
THE EFFECT of WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING
(World Scientific Publ Co Pte Ltd, 2012-10-01)
The influence of weak dissipation and its consequences in a two-dimensional mapping are studied. The mapping is parametrized by an exponent gamma in one of the dynamical variables and by a parameter delta which denotes the ...
A dissipative Fermi-Ulam model under two different kinds of dissipation
(Elsevier B.V., 2015-05-01)
The problem of a classical particle confined to bounce between two rigid walls, where one of them is fixed and the other one moves periodically on time is considered. The collisions with the moving wall can be inelastic, ...