The paper weakens the orthodox argument that firm control of the money supply is sufficient to control the rate of inflation in the medium to long run. It argues that local linearisation is not the appropriate strategy for dealing with macroeconomic models: the global dynamics should be analysed, using simulation methods if necessary. The paper provides an example of how striking analytical (in...

This paper presents a simple procedure that identiies linkage. The Linkage Iden-tiication by Nonlinearity Check (LINC) algorithm we propose checks arbitrary non-linearity of tness function for perturbations in a pair of loci to detect their linkage. To avoid overspeciied linkage caused by GA-easy nonlinearity, the algorithm also detects monotonicity for perturbations in each pair of previously ...

Recent publications in adaptive filtering have shown great interest in the use of nonlinear structures. In particular the quadratic Volterra adaptive filter has proved very popular. In this paper we start by demonstrating the need for nonlinear adaptive filters. Subsequently we present a method for the estimation of the level of nonlinearity of a system so as to be able to select the appropriat...

Detection of nonlinearity in experimental time series is usually based on rejection of a linear null hypothesis by a statistical test. Typically, the null hypothesis is a Gaussian process or a Gaussian process passed through a static nonlinear transformation or a similar simple alternative. Rejection of such a null is frequently interpreted as a detection of a deterministic nonlinear relation i...

| Multilevel models are designed to deal with studies on data that contain hierarchical structures and are becoming increasingly important in many elds of research. Since they are limited to parametric models, in practice only linear multilevel models are used. We present a nonlinear multilevel approach to investigate nonlinearity in relations. This model is based on nonlinear feed-forward netw...

A usual problem in control theory is the problem of controllability: given two states, is it possible to go from the first one to the second one by means of suitable control? Even in finite dimension, find a necessary and sufficient condition for controllability is out of reach. One can restrict our goal to the study of local controllability. In this case the two states are close to some given ...

Some acoustical nonlinear effects in biological media at medical ultrasonic frequencies and intensities were studied experimentally. The imaging method of acoustical nonlinearity parameter, as a basic parameter in nonlinear acoustics, was developed and investigated. Results indicate tidt the difference between normal and diseased tissues in nonlinearity parameter tomography is more sensitive th...

A good design of a Boolean function used in a stream cipher requires that the function satisses certain criteria in order to resist different attacks. In this paper we study the tradeoo between two such criteria , the nonlinearity and the resiliency. The results are twofold. Firstly, we establish the maximum nonlinearity for a xed resiliency in certain cases. Secondly, we present a simple searc...

We present a general algorithm to show that a scattering operator associated to a semilinear dispersive equation is real analytic, and to compute the coefficients of its Taylor series at any point. We illustrate this method in the case of the Schrödinger equation with powerlike nonlinearity or with Hartree type nonlinearity, and in the case of the wave and Klein–Gordon equations with power nonl...