The goal of the research is to analytically determine the invariant density curve for a given chaotic map altered by noise and to compare it to a numerically generated invariant density curve for the same map. The existence of an analytic solution allows one to predict the overall behavioral trend, if not the exact orbit, of a map and is potentially tremendously useful in the modeling of any sy...

It is clear that the negation map can be used to speed up the computation of elliptic curve discrete logarithms with the Pollard rho method. However, the random walks defined on elliptic curve points equivalence class {±P} used by Pollard rho will always get trapped in fruitless cycles. We propose an efficient alternative approach to resolve fruitless cycles. Besides the theoretical analysis, w...

Our aim was to determine the roles of somatomotor activation and muscle ischemia for the tachycardia and hypertension of isometric arm contraction. Carotid-cardiac and carotid-mean arterial pressure (MAP) baroreflex response curves were determined in 10 men during rest, during isometric arm contraction at 30% of maximum, and during postcontraction ischemia. Carotid distending pressure (CDP) was...

We present a coprocessor design for fast arithmetic over large numbers of cryptographic sizes. Our design provides a efficient way to prevent side channel analysis as well as fault analysis targeting modular arithmetic with large prime or composite numbers. These two countermeasure are then suitable both for Elliptic Curve Cryptography over prime fields or RSA using CRT or not. To do so, we use...

This study aimed to compare within-subject blood pressure (BP) variabilities from different measurement techniques. Cuff pressures from three repeated BP measurements were obtained from 30 normotensive and 30 hypertensive subjects. Automatic BPs were determined from the pulses with normalised peak amplitude larger than a threshold (0.5 for SBP, 0.7 for DBP, and 1.0 for MAP). They were also dete...