We present an algorithm for the computation of reducible invariant tori of discrete dynamical systems that is suitable for tori of dimensions larger than 1. It is based on a quadratically convergent scheme that approximates, at the same time, the Fourier series of the torus, its Floquet transformation, and its Floquet matrix. The Floquet matrix describes the linearization of the dynamics around...

A straightforward inversion scheme (SIS) has been developed to interpret vertical electrical sounding data. This scheme does not require quasi-linearization of the inverse resistivity problem and thereby dispenses with the iterative process and the necessity of guessing the number of layers and their resistivities and thicknesses. The entire solution domain is divided into uniform thickness lay...

The aim of this paper is to present non-similar solutions of a steady laminar compressible boundary layer flow past a long thin circular cylinder including the effects of wall enthalpy and surface mass transfer. The governing equations along with the boundary conditions are first converted into dimensionless form by a non-similar transformation, and then the resulting system of coupled non-line...

Abstract In this article, a meshless numerical technique based on radial basis functions (RBFs) is proposed for the solution of singular perturbed, obstacle, and second-order boundary value problems. First, unknown function their derivatives are approximated by RBFs which reduces given problem into system algebraic equations easy to solve. The shape parameter involved in chosen hit trial method...

We compare two non-perturbative techniques for calculating the singleparticle Green’s function of interacting Fermi systems with dominant forward scattering: our recently developed functional integral approach to bosonization in arbitrary dimensions, and the eikonal expansion. In both methods the Green’s function is first calculated for a fixed configuration of a background field, and then aver...

We study an optimal control problem arising from a generalization of rockpaper-scissors in which the number of strategies may be selected from any positive odd number greater than 1 and in which the payoff to the winner is controlled by a control variable γ. Using the replicator dynamics as the equations of motion, we show that a quasi-linearization of the problem admits a special optimal contr...

In this paper, we are interested in linearization techniques for exact resolution of the Unconstrained Quadratic (0-1) Problem. Our purpose is to propose ”economical” linear formulations. We first extend the current techniques in a general linearization framework containing many other schemes and propose a new linear formulation. Numerical results comparing classical, Glover’s and the new linea...

The introduction of state equation model of the electrical machine based on direct and quadrature axes variables has paved the way for powerful control theories to be brought to bear on the problem of control of electric machines. Exact linearization has been applied to the control of permanent magnet synchronous motor (PMSM). In this paper, application of approximate linearization is proposed ...

Abstract The strongly nonlinear dynamics of taut strings, traveled by a force moving with uniform velocity, is analyzed. A change variable performed, which recasts the equations motion in terms linearized dynamic displacement, measured from quasi-static response. Under hypothesis load velocity far enough celerity string, system appears form linear PDEs whose coefficients are slowly time. Since ...

In this paper, the development of non-linear building isolation systems is overviewed. The study summarizes commonly used linear in two categories, which are base and inter-storey systems. Typical isolators including Lead-Rubber Bearings Friction Pendulum viscous damper Tuned Mass Damper reviewed. analysis design also reported. After that, introduced from aspects based on their dynamic characte...