Chaotic oscillations and noise transformations in a simple dissipative system with delayed feedback

We analyze the statistical behavior of signals in nonlinear circuits with delayed feedback in the presence of external Markovian noise. For the special class of circuits with intense phase mixing we develop an approach for the computation of the probability distributions and multitime correlation functions based on the random phase approximation. Both Gaussian and Kubo-Andersen models of external noise statistics are analyzed and the existence of the stationary (asymptotic) random process in the long-time limit is shown. We demonstrate that a nonlinear system with chaotic behavior becomes a noise amplifier with specific statistical transformation properties.     

Crossed products of groups on a category and Auslander-Reiten quivers

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 6, pp. 794–798, June, 1989.     

Smooth polynomial expansions of piecewise-differentiable functions

This paper proposes an extension of the expansions of analytic functions in the A_n polynomials defined by Adomian [1] to consider piecewise-differentiable functions.     

A novel method for the preparation of T3 free plasma/serum for routine RIA

A novel method to eliminate T₃ from gross sera/plasma based on prior treatment with 8-anilino-1-naphthalene sulphonic acid has been standardized. This method is rapid with a minimum loss of protein and uses only small quantities of charcoal. The treated sera have been tested for acceptance in the RIA system for routine assays.     

Thickness induced transversal percolation in Pt-Al2O3 nano-composites

Investigations of thickness induced percolation process in Pt_ξ-Al₂O₃ nano-composites were carried out using grazing angle X-ray scattering. It is shown that the morphological characteristics of the nano-scaled Pt particles change significantly within the growth transversal direction. The initially non percolated two phases Pt_ξ-Al₂O₃ nano-composites show a noteworthy tendency to a percolated morphology with a gradual transversal increase of Pt nano-particles' average diameter in addition to the increase of the Pt nano-particles' poly-dispersity. This transversal morphological evolution is followed by a percolation phenomenon of the Pt nano-particles for a thickness of about ∼119.5 nm. This transversal morphological evolution seems to corroborate far too much with a columnar growth process.     

Spectroscopical diagnostics of alpha particles in the TSP tokamak

Reported to the 5th All-Union Conference on High-Temperature Plasma Diagnostics (June 18–22, 1990, Minsk).