this paper addresses synchronizing two coupled chaotic fitzhugh–nagumo (fhn) neurons with weakly gap junction under external electrical stimulation (ees). to transmit information among coupled neurons, by generalization of the integer-order fhn equations of the coupled system into the fractional-order in frequency domain using crone approach, the behavior of each coupled neuron relies on its pa...

In this paper we study the link between ‘turbulence strength’ in a flow and the leading Lyaponuv exponent that characterize it. To this end we use two approaches. The first, analytical, considers the truncated convection equations in 2-dimensions with three (Lorenz model) and six components and study their leading Lyaponuv exponent as a function of the Rayleigh number. For the second approach w...

We study the possible link between “local turbulence strength” in a flow which is represented by a finite time series and a “chaotic invariant”, namely, the leading Lyaponuv exponent that characterizes this series. To validate a conjecture about this link, we analyze several time series of measurements taken by a plane flying at constant height in the upper troposphere. For each of these time s...

We consider the general properties of the replicator dynamical system from the standpoint of its evolution and stability. Vector field analysis as well as spectral properties of such system has been studied. Lyaponuv function for investigation of system evolution has been proposed. The generalization of the replicator dynamics for the case of multi-agent systems has been introduced. We propose ...

This paper investigates the problem of stabilization of time delay linear singular systems subject to actuator saturation. A polytopic approach is used to describe the saturation behavior. By using an augmented Lyaponuv-Krasovskii functional and adopting the delay partitioning technique, less conservative sufficient conditions are established to ensure the closed loop system to be locally admis...

In this study, we constructed and analysed a mathematical model of COVID-19 in order to comprehend the transmission dynamics disease. The reproduction number (RC) was calculated via next generation matrix method. We also used Lyaponuv method show global stability both disease free endemic equilibrium points. results showed that disease-free point is globally asymptotically stable if RC > 1. fur...

This paper addresses synchronizing two coupled chaotic FitzHugh-Nagumo (FHN) neurons with weakly gap junction under external electrical stimulation (EES). To transmit information among coupled neurons, by generalization of the integer-order FHN equations of the coupled system into the fractional-order in frequency domain using Crone approach, the behavior of each coupled neuron relies on its pa...