This paper describes pseudo-random number generators based on non-linear dynamics. The recommended generator uses a special “re-mapped” form of the logistic equation at each of a finite set of nodes arranged in a 1or 2-dimensional ring. Each node receives small perturbations from adjacent nodes by means of diffusive coupling equations the so-called coupled map lattice. The generator is notable ...

Analysis and synthesis for linear systems with parameters that vary according to a set-valued map are investigated. It is shown that the optimal controllers are continuous and homogeneous, but not additive. A computational method based on approximating the nonquadratic cost by a piece-wise quadratic function is developed. Such an approximation determines stability nonconservatively and preserve...

In this paper, we try to attack a conjecture of Araujo and Jarosz that every bijective linear map θ between C*-algebras, with both θ and its inverse θ−1 preserving zero products, arises from an algebra isomorphism followed by a central multiplier. We show it is true for CCR C*-algebras with Hausdorff spectrum, and in general, some special C*-algebras associated to continuous fields of C*-algebras.

For the eigenvalue function on symmetric matrices, we have gathered a number of it’s properties.We show that this map has the properties of continuity, strict continuity, directional differentiability, Frechet differentiability, continuous  differentiability. Eigenvalue function will be extended to a larger set of matrices and then the listed properties will prove again.

In this paper we present a new, compact derivation of state-space formulae for the so-called discretisation-based solution of the H 1 sampled-data control problem. Our approach is based on the established technique of continuous time-lifting, which is used to isometri-cally map the continuous-time, linear, periodically time-varying, sampled-data problem to a discrete-time, linear, time-invarian...

Continuous welded turnouts are important for CWR track through the railway station. According to equivalent resistance and non-linear theories and the principle of force diagram, a new method of theoretical calculation for continuous welded turnouts was developed. The continuous welded turnouts designed and installed according to the new theory behaved fairly well. The data collected on sites b...