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Descripción
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| Presented in this work are some results relative to sequences found in the logistic equation bifurcation diagram, which is the unimodal quadratic map prototype. All of the different saddle-node bifurcation cascades, associated with every last appearance p-periodic orbit (p=3,4,5,¿), can also be generated from the very Feigenbaum cascade. In this way it is evidenced the relationship between both cascades. The orbits of every saddle-node bifurcation cascade, mentioned above, are located in different chaotic bands, and this determines a sequence of orbits converging to every band-merging Misiurewicz point. In turn, these accumulation points form a sequence whose accumulation point is the Myrberg¿Feigenbaum point. It is also proven that the first appearance orbits in the n-chaotic band converge to the same point as the last appearance orbits of the (n + 1)-chaotic band. The symbolic sequences of band-merging Misiurewicz points are computed for any window. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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CHAOS SOLITONS AND FRACTALS |
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ISSN
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0960-0779 |
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Factor de impacto JCR
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2,98 |
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Información de impacto
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Volumen
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39 |
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DOI
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10.1016/j.chaos.2007.01.073 |
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Número de revista
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2 |
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Desde la página
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666 |
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Hasta la página
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681 |
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Mes
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ENERO |
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Ranking
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