A computational approach to simultaneously learn the vector field of a dynamical system with locally asymptotically stable equilibrium and its region attraction from system's trajectories is proposed. The nonlinear identification leverages local stability information as prior on system, effectively endowing estimate this important structural property. In addition, knowledge can be used design e...

We construct a simple mathematical model that describes the dynamics of transmission COVID-19 disease in human population. It accounts for various phases and its mode contact through infectious humans surfaces. The contribution asymptomatic is well represented. system ordinary dierential equations evolution range states due to emergence an index case. analysis includes establishment basic repro...

Finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. This paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. In mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...

Abstract We present the first examples of phase transitions in asymptotically flat black hole solutions. analyse thermodynamic properties holes order N ⩾ 3 Lovelock gravity, with zero cosmological constant. fin...

Many stage-structured density dependent populations with a continuum of stages can be naturally modeled using nonlinear integral projection models. In this paper, we study a trichotomy of global stability result for a class of density dependent systems which include a Platte thistle model. Specifically, we identify those systems parameters for which zero is globally asymptotically stable, param...

We present a novel extremum-seeking method for affine connection mechanical control systems. The proposed law involves periodic perturbation signals with sufficiently large amplitudes and frequencies. A suitable averaging analysis reveals that the solutions of closed-loop system converge locally uniformly to an averaged in large-amplitude high-frequency limit. This turn leads effect stability p...