The formation dynamics of granular heaps in a vibrating bed is studied by a simple continuum model using the heap profile as the dynamical variable. Vibration increases the local height but is counter-balanced by the nonlinear coupling, which tends to suppress the growth of the height. The time evolution of the heap towards the steady state is obtained and it is demonstrated explicitly that the...

this paper presents a detailed small-signal and transient analysis of a full bridge pwm dc-dc converter designed for high voltage, high power applications using an average model. the derived model is implemented in a typical system and used to produce the small-signal and transient characteristics of the converter. results obtained in the analysis of the high voltage and high power design examp...

underground caverns in rock salt deposits are the most secure disposal method and a type of gas-storing facility. gas storage plays a vital role in ensuring that a strategic relationship is secured between an established energy infrastructure provider and a midstream energy company. the fischells brook area is a pillow-shaped body of salts located in the st. george's bay area of southwest newfo...

In this paper possibilities of a stabilization of large amplitude fluctuations in an intracavity-doubled solid-state laser are studied. The modification of the cross-saturation coefficient by the effect of spatial hole-burning is taken into account. The stabilization of the laser radiation by an increase of the number of modes, as proposed in [James et al., 1990b, Magni et al., 1993], is analyz...

We analyze the nonlinear dynamics near the incoherent state in a mean-field model of coupled oscillators. The population is described by a Fokker-Planck equation for the distribution of phases, and we apply center-manifold reduction to obtain the amplitude equations for steady-state and Hopf bifurcation from the equilibrium state with a uniform phase distribution. When the population is describ...

abstract t he return of capital is fundamental to the intertemporal allocation of resources by changing the consumption behavior and capital accumulation over time. taxation on return of capital increases the marginal product of capital, meaning that capital stock is lower than when capital is not taxed, which results decreased growth and welfare in steady state. this paper studies the impact o...

Here, a two server queueing system with Poisson arrivals and two different types of customers (M/H2/2 queue) is analyzed. A novel straightforward method is presented to acquire the exact and explicit forms of the performance measures. First, the steady state equations along with their Z-transforms are derived for the aforementioned queueing system. Using some limiting behaviors of the steady-st...

In the absence of government commitment, the conduct of fiscal and monetary policy depends on the sign of inherited net nominal government obligations. When these obligations are negative, monetary policy is non-distortionary and fiscal policy distortions are smoothed over time, either forever or for a finite number of periods, depending on the initial state. For positive net nominal government...