in this paper, the homotopy analysis method (ham) is considered to obtain the solution of the schrodinger equation with a power law nonlinearity. for this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region...

We project a novel digital control law for continuous stirred tank reactors, based on sampled measures of temperatures and reactant concentration, as it happens in practice. The methodology of relative degree preservation under sampling is used. It is proved that a suitably approximated sampled system, obtained by Taylor series expansion and truncation, in closed loop with the projected control...

1 Goal SPEM (S-system Parameter Estimation Method) package allows for the computation of parameters in the n-gene S-system from time series data. 2 Introduction Biological systems are composed of interacting components [1]. The process of the expression and the interactions of these components are nonlinear. S-systems have a power law formalism which is general enough to capture the base of the...

We present in this paper a numerical investigation of literary texts by various well-known English writers, covering the first half of the twentieth century, based upon the results obtained through corpus analysis of the texts. A fractal power law is obtained for the lexical wealth defined as the ratio between the number of different words and the total number of words of a given text. By consi...

A power law describes the relationship between the geometric properties of a trajectory (radius of curvature) and movement kinematics (tangential velocity) in curved drawing movements. Although the power law is a general law of motion, there are conditions under which it degrades. In particular, the power law may be less explanatory of movements around certain joints. The present study consider...

The propagation of an interfacial crack along a heterogeneous weak plane of a transparent Plexiglas block is followed using a high resolution fast camera. We show that the fracture front dynamics is governed by local and irregular avalanches with very large size and velocity fluctuations. We characterize the intermittent dynamics observed, i.e., the local pinnings and depinnings of the crack fr...

Aims. We determine the nature of the intermediate polar candidates XSS J00564+4548, IGR J17195–4100, and XSS J12270–4859. Methods. Pointed RXTE observations searched for intermediate polar characteristics in these candidate systems. Results. XSS J00564+4548 exhibits a period of 465.68 ± 0.07 s, which we interpret as the spin period, an energy dependent modulation depth, and a spectrum that is f...

Aims. We determine the nature of the intermediate polar candidates XSS J00564+4548, IGR J17195–4100, and XSS J12270–4859. Methods. Pointed RXTE observations searched for intermediate polar characteristics in these candidate systems. Results. XSS J00564+4548 exhibits a period of 465.68 ± 0.07 s, which we interpret as the spin period, an energy dependent modulation depth, and a spectrum that is f...

The effects of changes in nominal bargaining power, the proposal selection rule and discounting in legislative bargaining outcomes are investigated. The comparative static predictions of the Baron-Ferejohn (1989) model better organize behavior than does Gamson’s Law (1961). However, proposer power is not nearly as strong as predicted under Baron-Ferejohn as coalition partners refuse to take the...