We consider Filippov sliding motion on a co-dimension 2 discontinuity surface. We give conditions under which Σ is attractive through sliding which are sharper than those given in a previous paper of ours. Under these sharper conditions, we show that the sliding vector field considered in the...

In this paper, we study a new method for function approximation from the given integral values over successive subintervals by using cubic B-splines. The method does not need any additional end conditions and it is easy to be implemented without solving any system of linear equations. The method...

An important topic in the numerical analysis of Volterra integral equations is the stability theory. The main results known in the literature have been obtained on linear test equations or, at least, on nonlinear equations with convolution kernel. Here, we consider Volterra integral equations...

The internal energy transfer and modal interactions in the motion characteristics of Timoshenko microarches are investigated numerically. The length-scale parameter is introduced to the strain energy of the system and the equations of motion are obtained via Hamilton’s principle based on the...

We consider linear dynamical systems defined by differential algebraic equations. The associated input–output behaviour is given by a transfer function in the frequency domain. Physical parameters of the dynamical system are replaced by random variables to quantify uncertainties. We analyse...

In a recent paper we proposed a numerical method to solve a non-standard non-linear second order integro-differential boundary value problem. Here, we answer two questions remained open: we state the order of convergence of this method and provide some sufficient conditions for the uniqueness of...

In this paper we consider the numerical computation of the matrix pth root of stochastic matrices. In particular a collection of theoretical results concerning the pth root of stochastic matrices is reported and some numerical methods are described. The aim of the paper is to highlight the...

A direct quadrature method for the solution of Volterra integral equations with periodic solution is proposed. This method is based on an exponentially fitted quadrature rule of Gaussian type, whose parameters depend on the problem, in order to reproduce the behavior of the analytical solution....

Little seems to be known about hyperchaotic systems with a curve of equilibria. Based on the classical Lorenz system, this paper proposes a new four-dimensional Lorenz-type hyperchaotic system which has a curve of equilibria. This new system can generate not only hyperchaotic attractors but also...

Activities of genes are controlled in a combinatorial fashion by the concentrations of chemical called transcription factors. We model this type of network by piecewise linear differential equations formed by embedding a logical switching network in a differential equation. We generate...