Large-scale problems in scientific and engineering computing often require solutions involving large-scale matrices. In this paper, we survey numerical techniques for solving a variety of large-scale matrix computation problems, such as computing the entries and trace of the inverse of a matrix, computing the determinant of a matrix, and computing the transfer function of a linear dynamical sys...

In this paper we study the problem of the prediction of autonomous continuous-time dynamical systems from discrete time measurements of the state variables. In this case, the predictor of the system needs to be an invertible map from the state-space into itself. The problem then becomes one of how to approximate those invertible maps. We show that standard approximation schemes do not guarantee...

In this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.In the first approach, the equilibrium point of the system is one of the centers of the related membership fu...

In this paper, we clarify the applicability of the super operator technique for describing the dissipative quantum dynamics of a system consists of two qubits coupled with a thermal bath at finite temperature. By using super operator technique, we solve the master equation and find the matrix elements of the density operator. Considering the qubits to be initially prepared in a general mixed st...

The chaotic profile of dust grain dynamics associated with dust-acoustic oscillations in a dusty plasma is considered. The collective behaviour of the dust plasma component is described via a multi-fluid model, comprising Boltzmann distributed electrons and ions, as well as an equation of continuity possessing a source term for the dust grains, the dust momentum and Poisson’s equations. A Van d...

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 on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for sy...