in this work, we successfully construct the new exact traveling wave solutions ofthe generalized sinh–gordon equation by new application of the homogeneousbalance method. the idea introduced in this paper can be applied to othernonlinear evolution equations.

in this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. we discuss also the existence of a solution to a nonlinear random integral equation in banah spaces.

background: the present study was performed to develop a scoring system for predicting cure status in patients with cutaneous leishmaniasis (cl). materials and methods: this study included 199 patients with cl from skin diseases and leishmaniasis research center (isfahan, iran). data were collected as longitudinal in each visit of patients. we applied ordinal logistic generalized estimating equ...

In this paper a numerical method for the detection and computation of degenerate Hopf bifurcation points is presented. The degeneracies are classi ed and de ning equations characterizing each of the equivalence classes are constructed by means of a generalized Liapunov-Schmidt reduction. The numerical computation of the sign of the rst Liapunov coe cient which determines the stability of the bi...

[3] M. Burger, F. Haußer, C. Stöcker, A. Voigt, A level set approach to anistropic flows with curvature regularization, Preprint (2006), submitted. [4] W.C. Carter, J.E. Taylor, J.W. Cahn, Variational methods for microstructural evolution, JOM 49 (1997), 30-36. [5] K.Deckelnick, G.Dziuk, A fully discrete numerical scheme for weighted mean curvature flow, Numer. Math. 91 (2002), 423-452. [6] F. ...

This paper presents a new black-box algorithm for identification of a nonlinear autonomous system in stable periodic motion. The particle filtering based algorithm models the signal as the output of a continuous-time second order ordinary differential equation (ODE). The model is selected based on previous work which proves that a second order ODE is sufficient to model a wide class of nonlinea...

Steady-state potential and current distributions resulting from internal injection of current in the squid giant axon have been measured experimentally and also computed from nonlinear membrane cable equation models by numerical methods, using the Hodgkin-Huxley equations to give the membrane current density. The solutions obtained by this method satisfactorily reproduce experimental measuremen...

The exponential Euler method is a nonstandard approximation scheme that was developed specifically for the Hodgkin-Huxley differential equation models that arise in neuroscience and was one of the discretization schemes used in the neural systems package called GENESIS. In this article, we show the scheme is first order accurate, develop a second order accurate extension, and suggest ways the m...