Bifurcation Analysis of a Circuit-Related Generalization of the Shipmap

In this paper a three-parameter bifurcation analysis of a piecewise-affine map is carried out. Such a map derives from a well-known map which has good features from its circuit implementation point of view and good statistical properties in the generation of pseudo-random sequences. The considered map is a generalization of it and the bifurcation parameters take into account some common circuit implementation non-idealities or mismatches. In view of a robust design of the map, this bifurcation analysis should come before a statistical analysis, to find a set of parameters ensuring both robust chaotic dynamics and robust statistical properties. 1 

• Type: Journal
• Year: 2006
• Where: IJBC
• Authors: Federico Bizzarri, Marco Storace, Laura Gardini
• Keywords: Bifurcation Analysis, Circuit Implementation, IJBC 2006, Three-parameter Bifurcation Analysis