Conjugation of cascades
| dc.creator | Martin, Jesus San | |
| dc.creator | Rodriguez-Perez, Daniel | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:34:54Z | |
| dc.date.available | 2026-07-07T07:34:54Z | |
| dc.description | 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 to 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. | |
| dc.description | 4 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0612007 | |
| dc.identifier | http://arxiv.org/abs/nlin/0612007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119931 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Conjugation of cascades | |
| dc.type | text |