Recently, local bifurcation theory for delayed neural fields was developed. In this paper, we show how symmetry arguments and residue calculus can be used to simplify the computation of the spectrum in special cases and the evaluation of the normal form coefficients, respectively. This is done hand in hand with an extensive study of two pitchfork–Hopf bifurcations for a 1D neural field model wi...

although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

In this paper, a numerical solution based on Haar wavelet quasilinearization (HWQ) is used for finding the solution of nonlinear Euler-Lagrange equations which arise from the problems in calculus of variations. Some examples of variational problems are given and outcomes compared with exact solutions to demonstrate the accuracy and efficiency of the method.

the current study presents a new analytical method for buckling analysis of rectangular and annular beams made up of functionally graded materials with constant thickness and poisson’s ratio. the boundary conditions of the beam are assumed to be simply supported and clamped. the stability equations were obtained by using conservation of energy. the critical buckling load and first mode shape we...

The propagation of flexural waves across a gap of finite width in an infinite ice sheet is solved using the residue calculus technique (RCT). The boundary value problem is defined by a thin elastic plate equation coupled with hydrodynamic effects from inviscid and incompressible fluid under the plate. The method of solution is based on the recent application of the RCT to the semi-infinite ice ...

The scattering of water waves by a dock of finite width and infinite length in water of finite depth is solved using the modified residue calculus technique. The problem is formulated for obliquely incident waves and the case of normal incidence is recovered by taking an appropriate limit. Exciting forces and pitching moments are calculated as well as reflection and transmission coefficients. T...

in order to study the effects of conventional and conservation tillage with management residue on wheat physiological properties, a field experiment was conducted in 2013-2014 at mashhad agricultural and natural resources research center of razavi khorasan province. this experiment was carried out as split plot design based on a randomized complete block design with three replications. main plo...

Objective: The usage of pesticides has increased during the recent years. One the other hand, presence of harmful pesticides residue in rice and other food has caused a great concern among the consumers. Therefore, it is important to develop some pragmatic procedures to increase the food safety along with the reduction in consumption of pesticide residues. Methods: A gas chromatograph with elec...