Bifurcation analysis of a circuit-related piecewise-affine map

• Published in: 2005 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 3403 - 3406 Vol. 4
• Main Authors: Bizzarri, F., Carezzano, L., Storace, M., Gardini, L.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 2005
• Subjects: Bifurcation; Chaos; Character generation; Circuit analysis; Design engineering; Inverse problems; Mathematical model; Nonlinear dynamical systems; Robustness; Statistical analysis
• ISBN: 9780780388345; 0780388348
• ISSN: 0271-4302; 2158-1525
• DOI: 10.1109/ISCAS.2005.1465359

In this paper, a two-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.