we present a numerical study of a one-dimensional version of the burridge-knopoff model [16] of n-site chain of spring-blocks with stick-slip dynamics. our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. it is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...

A modulated holding beam shining a VCSEL above threshold can improve modulation bandwidth by adjusting the semiconductor laser’s relaxation oscillation frequency. The improved modulation characteristics are accompanied by reduced damping rate. By choosing correct parameters, dynamical behavior of system and cavity solitons is changed.

An analysis of the molecular dynamics (МD) of the interaction between a carbon nanotube (CNT) and a carbon disulfide active solvent (CS2) has been carried out. The aim of the present work is to estimate the dynamical and structural behavior of the CNT-CS2 system at different relative atomic concentrations and under temperature changes. The structural radial distribution functions and the dynami...

the study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. a number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement (behavior) – stable, periodic, quasi-periodic or chaotic. the main objectives of this review are: 1) to outline the characteristic features of...

This paper is a continuation of the authors' previous work on noncommutative joinings, and contains study relative independence W$^*$-dynamical systems. We prove that, given any separable locally compact group $G$, an ergodic W$^{*}$-dynamical $G$-system $\mathfrak{M}$ with subsystem $\mathfrak{N}$ disjoint to from its maximal $\mathfrak{M}_{K}$ if only $\mathfrak{N}\cong\mathfrak{M}_{K}$. gene...

Real-time magnetic resonance imaging (rtMRI) provides information about the dynamic shaping of the vocal tract during speech production and valuable data for creating and testing models of speech production. In this paper, we use rtMRI videos to develop a dynamical system in the framework of Task Dynamics which controls vocal tract constrictions and induces deformation of the air-tissue boundar...

In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space of functions is utilized to design feedback control for a nonlinear dynamical system.