Generation of irregular symmetric structures averaging permanent and transient chaotic logistic maps
Working with the logistic map, we cut the interval [0,1] in equal parts, being each cut an initial condition and we averaged, for these initial conditions, the values of the corresponding orbits. The map is taken first in the permanent chaotic regime (r = 4) and then in the transient one (r = 4+ε, w...
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| Autores principales: | , , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_13200682_v10_n_p1_Cosentino |
| Aporte de: |
| Sumario: | Working with the logistic map, we cut the interval [0,1] in equal parts, being each cut an initial condition and we averaged, for these initial conditions, the values of the corresponding orbits. The map is taken first in the permanent chaotic regime (r = 4) and then in the transient one (r = 4+ε, with ε <<1). We plot these averages in function of the initial condition and we obtained, in both cases irregular mirror like structure with 0.5 at the center of symmetry. The plots, being all symmetric, are different. Finally, we tried to make an analogy between these structures and the response due to nonlinear polarizability of matter in an electric field or the behavior of a set of duffing oscillators subject to a similar field. © Copyright 2005. |
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