Complex systems derive sophisticated behavioural dynamics by connecting individual component dynamics via a complex network. The resilience of complex systems is a critical ability to regain desirable behaviour after perturbations. In the past years our understanding of large-scale networked...

Solving non-linear parabolic partial differential equations (PDEs) in high dimension becomes an interest for its curse of dimensionality problem. Recently, a deep learning method associated with a backward stochastic differential equation (deep-BSDE) to solve the PDEs draws intensive discussions...

Highlights* A nonlinear transmission line with a Schottky varactor and two resistive elements, connected to a voltage terminal, is studied.* Solitary-wave ignals are shown to propagate with amplitudes that are either exponentially increased of decreased with time, depending on a specific...

Prediction of nonlinear dynamic process remains a challenging and active research topic. In this paper, adaptive nonlinear prediction based on a Hammerstein-modeling approach is investigated. Motivated by the desire to represent the best fit to the nonlinear dynamical plant with the Hammerstein...

Turbulent dispersed multiphase systems are of paramount importance in numerous physical applications. In terms of the numerical modeling of such systems, crucial aspects are, among others, the mathematical representation of dispersed particles and the effect of fluid turbulence on those...

Abstract. We construct two classes of time discretization schemes for fourth order nonlinear equations by combing a function transform approach with the scalar auxiliary variable (SAV) approach. A suitable function transform ensures that the schemes are bound/positivity preserving, while the SAV...

Chronoamperometry (CA), phase space reconstruction, correlation dimension, multifractal detrended fluctuation analysis (MFDFA) combining linear sweep voltammetry (LSV), electrochemical impedance spectroscopy (EIS), and surface morphology observation were used to systematically analyze the...

We study the dynamic relationship between the public debt ratio and the real interest rate. By means of a macroeconomic model of simultaneous difference equations - one for the debt ratio and the other for the real interest rate - we focus on the role of monetary policy, fiscal policy and risk...