A plasma confined in a dipole field exhibits unique equilibrium and stability properties. In particular, equilibria exist at all β values and these equilibria are found to be stable to ballooning modes when they are interchange stable. When a kinetic treatment is performed at low beta we also find a drift temperature gradient mode which couples to the MHD mode in the vicinity of marginal interc...

In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numeri...

this paper investigates the stability analysis of fuzzy relational dynamic systems. a new approach is introduced and a set of sufficient conditions is derived which sustains the unique globally asymptotically stable equilibrium point in a first-order fuzzy relational dynamic system with sumproduct fuzzy composition. this approach is also investigated for other types of fuzzy relational composit...

A model for the time dependent behaviour of electrons in semiconductor devices is considered. The model incorporates nonequilibrium eeects caused by impurity generated trap levels in the forbidden band. Transport of conduction electrons is modelled by the standard drift-diiusion equation. Existence and uniqueness globally in time of initial-boundary value problems is proven as well as stability...

We consider a mathematical model of epidemic spread  in which the  population  is partitioned  into five compartments of susceptible S(t), Infected I(t), Removed R(t), Prevented U(t) and the Controlled W(t). We assume each of the compartments comprises of cohorts of individuals which are  identical with respect to the disease status. We derive five systems of equations to represent each of the ...

in this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. the stages for prey have been considered. the proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. the model is analyzed by using linear stability analysis to ob...

as one of the most promising distributed generation (dg) sources, wind power technology has been widely developed in recent years. doubly fed induction generator (dfig) is currently employed as one of the most common topologies for wind turbine generators (wtgs). this generator operates as a synchronous/asynchronous hybrid generators. therefore, it is necessary to power engineers find understan...