Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

Contraction analysis considers the distance between two adjacent trajectories. If this
distance is contracting, then trajectories have the same long-term behavior. The main …

This paper focuses on the quasi-fixed time synchronization of memristive Cohen-Grossberg
neural networks with reaction diffusion. First, a new definition of finite/fixed-time attraction set …

Over the past several years, there has been an explosion of interest in analyzing flow
barriers in fluids. This has been driven by a variety of reasons. One is a concern for our …

Our aim in this paper is to give a sufficient condition ensuring the finite-time attractivity for the
zero solution to semilinear functional differential inclusions in Banach spaces, in the case …

We adapt the notion of processes to introduce an abstract framework for dynamics in finite
time, ie on compact time-sets. For linear finite-time processes a notion of hyperbolicity …

We prove the existence and finite-time attractivity of solutions to semilinear tempered
fractional wave equations with sectorial operator and superlinear nonlinearity. Our analysis …

We consider a non-autonomous ordinary differential equation over a finite time interval [T1;
T2]. The area of exponential attraction consists of solutions such that the distance to …

The aim of our work is to establish some sufficient conditions ensuring the finite-time
attractivity of solutions to semilinear fractional differential equations, in which the nonlinearity …

In this paper we consider a time-invariant system of differential equations with an
equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an …