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Abstract:

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.

Registro:

Documento: Artículo
Título:Generation of irregular symmetric structures averaging permanent and transient chaotic logistic maps
Autor:Cosentino, J.P.; Buep, A.H.; Casaubon, J.I.
Filiación:Facutad de Ingeniería, Universidad de Belgrano y CONICET, Villanueva 1324, 1426 Buenos Aires, Argentina
Facultad de Ciencias Exactas y Naturales, Universidad de Belgrano y CONICET, Villanueva 1324, 1426 Buenos Aires, Argentina
Año:2004
Volumen:10
Página de inicio:1
Página de fin:15
Título revista:Complexity International
Título revista abreviado:Complex. Int.
ISSN:13200682
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v10_n_p1_Cosentino

Referencias:

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Citas:

---------- APA ----------
Cosentino, J.P., Buep, A.H. & Casaubon, J.I. (2004) . Generation of irregular symmetric structures averaging permanent and transient chaotic logistic maps. Complexity International, 10, 1-15.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v10_n_p1_Cosentino [ ]
---------- CHICAGO ----------
Cosentino, J.P., Buep, A.H., Casaubon, J.I. "Generation of irregular symmetric structures averaging permanent and transient chaotic logistic maps" . Complexity International 10 (2004) : 1-15.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v10_n_p1_Cosentino [ ]
---------- MLA ----------
Cosentino, J.P., Buep, A.H., Casaubon, J.I. "Generation of irregular symmetric structures averaging permanent and transient chaotic logistic maps" . Complexity International, vol. 10, 2004, pp. 1-15.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v10_n_p1_Cosentino [ ]
---------- VANCOUVER ----------
Cosentino, J.P., Buep, A.H., Casaubon, J.I. Generation of irregular symmetric structures averaging permanent and transient chaotic logistic maps. Complex. Int. 2004;10:1-15.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13200682_v10_n_p1_Cosentino [ ]