Showing papers by "Kestutis Pyragas published in 1992"
TL;DR: In this paper, the stabilization of unstable periodic orbits of a chaotic system is achieved either by combined feedback with the use of a specially designed external oscillator, or by delayed self-controlling feedback without using of any external force.
2,957 citations
TL;DR: In this paper, a model based on the Poisson equation and two continuity equations for electrons and holes, including impact ionization, has been considered for narrow-gap semiconductors.
Abstract: The Gunn effect in narrow-gap semiconductors has been investigated analytically and numerically. The model considered is based on the Poisson equation and two continuity equations for electrons and holes, including impact ionization. Linear analysis shows that at certain conditions nonuniform fluctuations in the form of plane waves with nonzero wave number become unstable. The spatiotemporal behavior of the system is determined by plasma wave instability and domain instability, which have different characteristic frequencies and lengths. The nonlinear dynamics of the system are simulated on a computer using a modifiec particle algorithm. Various regimes of nonlinear oscillations (periodic, quasi-periodic and chaotic) have been observed. They occur as a result of the competition between two types of instabilities. The Pameau-Manneville and the Ruelle-Takens-Newhouse scenarios have been detected by investigation of routes to chaos. Analysis of the dimension of the strange attractor as a function of applied voltage in various spatial points of the sample has shown that the system produces low-dimensional chaos in a wide voltage range.
8 citations
TL;DR: In this paper, a new numerical method to estimate the interrelation between chaotic observables is applied to experimental data of a semiconductor system, which is used to evaluate the spatial interrelation of signals coming from different parts of semiconductor sample as the system transits from a chaotic state to a hyperchaotic one.
2 citations
Journal Article•
TL;DR: In this article, the method for estimation of the nonlinear interrelation in chaostic systems is described and the influence of choice of variables on the interrelation is discussed, and the analysis of a simple numerical model and semiconductor experiment is presented.
Abstract: The method for estimation of the nonlinear interrelation in chaostic systems is described. Influence of choice of variables on the interrelation is discussed. Results of the analysis of a simple numerical model and semiconductor experiment are presented
2 citations