The Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic systems. However, there are some bottlenecks in the Lyapunov method, such as need for negative definiteness of the Lyapunov function derivative in the direction of the system’s solutions. In this paper, we develop a new theorem to dispense the need for negative definite-ness of Lyapunov...

According to the increasing development of the mankind, social and technology activities in the earth, various industry is in a state of uncontrolled growth. In the present study, magnetite/nickel oxide mixed metal oxide nanoparticles (FNMMO NPs) were prepared by a simple method assisted by ultrasonic waves and applied as a novel adsorbent to dispose of dye wastewater. The morphology and chemic...

The mechanism by which aggregate supply creates the income that generates its matching demand (called Say’s Law), may not work in a general equilibrium with decentralized markets and savings in bonds or money. Full employment is an equilibrium, but convergence to that state is slow. A self-fulfilling precautionary motive to accumulate bonds (with a zero aggregate supply) can set the economy on ...

Effective and fast convergence toward an equilibrium state for long-chain polymer melts is realized by a hybrid method coupling molecular dynamics and the elastic continuum. The required simulation time to achieve the equilibrium state is reduced compared with conventional equilibration methods. The polymers move on a wide range phase space due to large-scale fluctuation generated by the elasti...

We apply the graphic transformation method[11],[25] to obtain the steady state distribution of asymmetric Boltzmann machines as an extension of the symmetric equilibrium case. We give the magnitude of deviation from the equilibrium explicitly as a function of the asymmetry in the connections between the neurons. We show that the steady state of asymmetric Boltzmann machines is characterized by ...

We analyze the effect of the wage gap between regular and non-regular employment on a macroeconomy by using a Keynesian dynamic model. If the steady state equilibrium exhibits the stagnationist regime, the size of the reserve army effect affects the stability of the equilibrium. On the other hand, if the steady state equilibrium exhibits the exhilarationist regime, an increase in the wage gap d...

in this work, we investigated the stability of molybdate-phosphonic acid (mpa) complex by density functionaltheory (dft) computations in six solvents with the dielectric constant ranging from 1.92 to 10.36. the methodsare used for calculations are b3lyp and b3pw9 i that have been studied in two series of basis sets: d95nand6-31+g (d,p) for hydrogen and oxygen atoms; lanl2dz for mo and phosphoru...

Biological sensory systems generally operate out of equilibrium, which often leads to their improved performance. Here, we study the sensitivity of ligand concentration for a general receptor model, which is generally in the non-equilibrium stationary state, in the framework of a stochastic diffusion equation. We derived a general formula of the maximum sensitivity. Specifically, the sensitivit...