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

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-space surfaces obtained by eliminating all parameters from the equations of motion.

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Year of publication:	2001
Authors:	Beims, Marcus W. ; Rech, Paulo C. ; Gallas, Jason A.C.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 295.2001, 1, p. 276-279
Publisher:	Elsevier
Subject:	Nonlinear dynamics \| Coupled map lattices \| Parameter elimination \| Discrete oscillators

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010591108