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Transients in a time-dependent logistic map

Leonel, Edson D; Kamphorst Leal da Silva, J; Oliffson … - In: Physica A: Statistical Mechanics and its Applications 295 (2001) 1, pp. 280-284

We study the one-dimensional logistic map with parametric perturbation. Using a small periodic function as the perturbation, new attractors may appear. Beside these new attractors, complex attractors exist and are responsible for transients in many trajectories. We observe that each one of these...

Persistent link: https://www.econbiz.de/10010591466

Numerical estimates of local dimension by waiting time and quantitative recurrence

Carletti, Timoteo; Galatolo, Stefano - In: Physica A: Statistical Mechanics and its Applications 364 (2006) C, pp. 120-128

Waiting time indicators are defined by measuring the time needed for a point x to approach a given point y. Our aim is to test the use of waiting time indicators, and quantitative recurrence ones to numerically estimate the local dimension of attractors in dynamical systems, as suggested by some...

Persistent link: https://www.econbiz.de/10010591578

Complex dynamics of cellular automata rule 119

Chen, Fang-Fang; Chen, Fang-Yue - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 6, pp. 984-990

dynamics in the bi-infinite symbolic sequence space Σ2. It is shown that there exists one Bernoulli-measure global attractor of … mixing on the global attractor and possesses the positive topological entropy. Therefore, rule 119 is chaotic in the sense of … both Li-Yorke and Devaney on the global attractor. It is interesting that rule 119, a member of Wolfram’s class II which …

Persistent link: https://www.econbiz.de/10011061282