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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 ...
Solving the Levins' paradox in the logistic model to the population growth
(2011-08-30)
We introduce a new method to improve Markov maps by means of a Bayesian approach. The method starts from an initial map model, wherefrom a likelihood function is defined which is regulated by a temperature-like parameter. ...
Solving the Levins' paradox in the logistic model to the population growth
(2011-08-30)
We introduce a new method to improve Markov maps by means of a Bayesian approach. The method starts from an initial map model, wherefrom a likelihood function is defined which is regulated by a temperature-like parameter. ...
Route to chaos and some properties in the boundary crisis of a generalized logistic mapping
(2017-11-15)
A generalization of the logistic map is considered, showing two control parameters α and β that can reproduce different logistic mappings, including the traditional second degree logistic map, cubic, quartic and all other ...
Squared sine logistic map
(2016-12-01)
A periodic time perturbation is introduced in the logistic map as an attempt to investigate new scenarios of bifurcations and new mechanisms toward the chaos. With a squared sine perturbation we observe that a point attractor ...
Choquet simplices as spaces of invariant probability measures on post-critical sets
(ELSEVIER SCIENCE BV, 2010)
A well-known consequence of the ergodic decomposition theorem is that the space of invariant probability Measures of a topological dynamical system, endowed with the weak* topology, is a non-empty metrizable Choquet simplex. ...