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...

Modern Science is finding new methods of looking at biological, physical or social phenomena. Traditional methods of quantification are no longer sufficient and new approaches are emerging. These approaches make it apparent that the phenomena the observer is looking at are not classifiable by conventional methods. These phenomena are complex. A complex system, as Chua’s oscillator, is a nonline...

Chaotic dynamical systems characteristically exhibit erratic, seemingly random, behavior. They are highly sensitive to initial conditions. Any alteration to the state of a chaotic system will eventually lead to very large differences in behavior. Until recently, the preferred approach to chaotic dynamical systems has been to avoid them. A method developed by Ott, Grebogi, and Yorke (OGY) takes ...

The dynamical behavior of real-world phenomena is implausible graphically due to the complexity mathematical coding. present article has mainly focused on some one-dimensional real maps’ irrespective using In continuation, linear, quadratic, cubic, higher-order, exponential, logarithmic, and absolute value maps have been used scrutinize their behavior, including characteristics orbit points. Dy...

In this paper, a passive control scheme for port Hamiltonian systems with dissipation (PHD) is presented. The control scheme is able to conserve the PHD structure of the system when constrained on a sub-manifold of the state space. The idea is to modify both the interconnection and damping structures of the system and to add a proper dynamical extension in such a way that the constraint can be ...

Dynamical neural networks are being increasingly employed in a variety of different contexts, including as simple model nervous systems for autonomous agents. For this reason, there is a growing need for a comprehensive understanding of their dynamical properties. Using a combination of elementary analysis and numerical experiments, this paper begins a systematic study of the dynamics of contin...

We present a complex neural network model of user behavior in distributed systems. The model reflects both dynamical and statistical features of user behavior and consists of three components: on-line and off-line models and change detection module. On-line model reflects dynamical features by predicting user actions on the basis of previous ones. Off-line model is based on the analysis of stat...

We discuss, in this paper, the dynamical properties of extremely diluted, non-monotonic neural networks. Assuming parallel updating and the Hebb prescription for the synaptic connections, a flow equation for the macroscopic overlap is derived. A rich dynamical phase diagram, was obtained, showing a stable retrieval phase, as well as a cycle two and chaotic behavior. Numerical simulations were p...

The identification of the limiting factors in the dynamical behavior of complex systems is an important interdisciplinary problem which often can be traced to the spectral properties of an underlying network. By deriving a general relation between the eigenvalues of weighted and unweighted networks, here I show that for a wide class of networks the dynamical behavior is tightly bounded by few n...