We report microwave transmission measurements of superconducting Fabry-Perot resonators, having a superconducting nanowire placed at a supercurrent antinode. As the plasma oscillation is excited, the supercurrent is forced to flow through the nanowire. The microwave transmission of the resonator-nanowire device shows a nonlinear resonance behavior, significantly dependent on the amplitude of th...

Abstract This is a demonstration of the PNLSS Toolbox 1.0. The toolbox designed to identify polynomial nonlinear state-space models from data. Nonlinear can describe wide range systems. An illustration provided on experimental data an electrical system mimicking forced Duffing oscillator, and numerical fluid dynamics problem.

We study a type of p-Laplacian neutral Duffing functional differential equation with variable parameter to establish new results on the existence of T -periodic solutions. The proof is based on a famous continuation theorem for coincidence degree theory. Our research enriches the contents of neutral equations and generalizes known results. An example is given to illustrate the effectiveness of ...

Evolution equations of the joint response-excitation probability density function (REPDF) generalize the existing PDF evolution equations and enable us to compute the PDF of the solution of stochastic systems driven by colored random noise. This paper aims at developing an efficient numerical method for this evolution equation of REPDF by considering the response and excitation spaces separatel...

The paper deals with the problem of estimation of the topological entropy for non-autonomous systems of differential equations via the second (direct) Lyapunov method. The main result of the paper is illustrated by examples concerning the Lorenz system and Duffing oscillator.