We study in this paper the bifurcation and stability of the solutions of the complex Ginzburg–Landau equation(CGLE). We investigate two different modes of CGLE. We study the first mode of CGLE which has only cubic unstable nonlinear term and later we also study the second mode of CGLE which has both cubic and quintic nonlinear terms. The solutions considered in cubic CGLE bifurcate from the tri...

Parity-time symmetric lasers have attracted considerable attention lately due to their promising applications and intriguing properties, such as free spectral range doubling and single-mode lasing. In this work we discuss nonlinear modal interactions in these laser systems under steady state conditions, and we demonstrate that several gain clamping scenarios can occur for lasing operation in th...

Most of the research concerning production systems is so far limited to the assessment of the steady-state throughput despite the impact of the parameter variability on the overall performance of such systems. In this paper, we propose an analytical model to assess the variance of the throughput of homogeneous transfer lines subject to operation-dependant failures. The transfer lines subject of...

In this study, the dynamic characteristics of accelerator-driven subcritical reactor (ADSR) under beam transients with high heterogeneity neutron flux in time-space are investigated. Multi-mode core few-group constants generated by three kinds fluxes: steady state ADSR, λ-eigenvalue fundamental wave, and α-eigenvalue wave. The proposed overcome limitation single constant two-step method that ca...

battery pack is the main energy storage element, and directly affects the performance of electric vehicle. this paper selects the forced air cooling of horizontal battery pack as the study object, and researches the heat dissipation performance of different operating conditions with fleunt software. results indicate that: according to the four kinds of transient state conditions and steady stat...

Hybridoma cells utilize a pair of complementary and partially substitutable substrates, glucose and glutamine, for growth. It has been shown that cellular metabolism shifts under different culture conditions. When those cultures at different metabolic states are switched to a continuous mode, they reach different steady states under the same operating conditions. A cybernetic model was construc...

In the previous two Chapters, we proposed fraction nonconforming nonparametric control charts to monitor process location and process variability. It is also shown that performance of proposed control charts are superior to that of the Shewhart X and sign charts. If process is running in an in-control state for a long period, it will reach in steady-state mode. In order to characterize long-ter...

numerical solutions obtained by the meshless local petrov–galerkin (mlpg) method are presented for two-dimensional steady-state heat conduction problems. the mlpg method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. the penalty method is adopted to efficiently enforce the essential boundary co...

In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Als...

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 pape...