SYMBOLIC SEQUENCES OF ONE-DIMENSIONAL QUADRATIC MAP POINTS

Citation
G. Pastor et al., SYMBOLIC SEQUENCES OF ONE-DIMENSIONAL QUADRATIC MAP POINTS, Physica. A, 256(3-4), 1998, pp. 369-382
Citations number
19
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
256
Issue
3-4
Year of publication
1998
Pages
369 - 382
Database
ISI
SICI code
0378-4371(1998)256:3-4<369:SSOOQM>2.0.ZU;2-F
Abstract
In previous works we introduced the symbolic sequence of the orbit of a Misiurewicz point of a one-dimensional quadratic map and formulae to calculate the symbolic sequences of the orbits of the tip and the cus p points in the Mandelbrot set antenna tan L-map). In this work we gen eralize these expressions to any map type, and we present simple formu lae to directly calculate the symbolic sequences of chaotic bands merg ing points, pitchfork bifurcation points and stable periodic points in one-dimensional quadratic maps. To conclude, some considerations abou t the notation of the accumulation points are accomplished. (C) 1998 E lsevier Science B.V. All rights reserved.