Fractal and riddled basins: arithmetic signatures in the parameter space of two coupled quadratic maps

Authors
Beims, MW Rech, PC Gallas, JAC
Citation
Mw. Beims et al., Fractal and riddled basins: arithmetic signatures in the parameter space of two coupled quadratic maps, PHYSICA A, 295(1-2), 2001, pp. 276-279
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
295
Issue
1-2
Year of publication
2001
Pages
276 - 279
Database
ISI
SICI code
0378-4371(20010601)295:1-2<276:FARBAS>2.0.ZU;2-W
Abstract
We investigate the parameter space of two coupled quadratic (logistic) maps . Of special interest is the analytical characterization of the precursors leading to riddled basins. We delimit stability domains for orbits with the two lowest periods. In addition, we study the singularities of the phase-s pace surfaces obtained by eliminating all parameters from the equations of motion. (C) 2001 Elsevier Science B.V. All rights reserved.