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

Marcus W. Beims, Paulo C. Rech and Jason A.C. Gallas

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 276-279

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

Keywords: Nonlinear dynamics; Coupled map lattices; Parameter elimination; Discrete oscillators (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:276-279

DOI: 10.1016/S0378-4371(01)00087-5

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