We consider the problem of state and parameter estimation for a class of nonlinear oscillators defined as a system of coupled nonlinear ordinary differential equations. Observable variables are limited to a few components of state vector and an input signal. This class of systems describes a set of canonic models governing the dynamics of evoked potential in neural membranes, including Hodgkin-...

A central question in algorithmic mechanism design is to understand the additional difficulty introduced by truthfulness requirements in the design of approximation algorithms for social welfare maximization. In this paper, by studying the problem of single-parameter combinatorial auctions, we obtain the first black-box reduction that converts any approximation algorithm to a truthful mechanism...

the present study is an attempt to investigate some features of radial basis functions (rbfs) approximation methods related to variational problems. thereby authors applied some properties of rbfs to develop a direct method which reduces constrained variational problem to a static optimization problem. to assess the applicability and effectiveness of the method, some examples are examined. dyna...

We consider the acoustic field scattered by a bounded impenetrable obstacle and we study its dependence upon certain set of parameters. As usual, problem is modeled an exterior Dirichlet for Helmholtz equation $\Delta u +k^2u=0$. show that solution $u$ far pattern $u_\infty$ depend real analytically on shape obstacle, wave number $k$, datum. also prove similar result corresponding Dirichlet-to-...