converge to ET (x) in A for any x ∈ A, as n → ∞, here ET is an projection of A to the fixed point subspace of T . Note that when T is a completely positive mapping then ET is a conditional expectation. We provide an example of uniquely ergodic dynamical system relative its fixed point subspace, for which ET is not a conditional expectation. It is also constructed a uniquely ergodic entangled Ma...

the aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. in order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. this is done by the extension of ...

A class of generalized Halanay inequalities is studied via the Banach fixed point method and comparison principle. The conditions to ensure boundedness stability zero solution are obtained in this study. This research provides a new approach study inequality. Numerical examples simulation results verify validity superiority conclusions

This paper examines the most probable route to chaos in high-dimensional dynamical systems function space (time-delay neural networks) endowed with a probability measure in a computational setting . The most probable route to chaos (relative to the measure we impose on the function space) as the dimension is increased is observed to be a sequence of Neimark-Sacker bifurcations into chaos. The a...

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...