This paper investigates the foundations of the view that (i) computation theory is a special branch of dynamical systems theory, and (ii) a computational system is a special kind of discrete dynamical system whose specific property, being computational, can be thought to be intrinsic to the dynamics of the system itself. I give a formal explication of the concept of an intrinsic computational s...

A study of the dynamical fluctuation property of jets is carried out using Monte Carlo method. The results suggest that, unlike the average properties of the hadronic system inside jets, the anisotropy of dynamical fluctuations in these systems changes abruptly with the variation of the cut parameter ycut. A transition point exists, where the dynamical fluctuations in the hadronic system inside...

Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation, and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties. A coupled dynamical system under a class of Lévy noises is considered. After discussing cocycle property, stationary orbits, and random attractors, a synchronization ...

In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system.  In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to...

This paper denes and investigates the ergodic proper-ties of the entropy of a countable partition of a fuzzy dynamical sys-tem at different points of the state space. It ultimately introducesthe local fuzzy entropy of a fuzzy dynamical system and proves itto be an isomorphism invariant.

A new approach based on the analysis of influence a single perturbation is proposed as test for shadowing property broad class dynamical systems (in particular, non-autonomous) under variety perturbations. Applications several interesting cases are considered in detail.

In this paper, we propose a new dynamical fuzzy modeling technique for SISO complex systems. It is seen that, the whole state-space of a complex system is divided into subspaces and a linear time-invariant (LTI) model is then used tu approximate the complex system in each subspace. However, the global dynamical fuzzy model of the complex system is derived by aggregating all subsystem poles and ...

The problem of extracting a “signal” xn generated by a dynamical system from a times series yn = xn + en, where en is an observational error, is considered. It is shown that consistent signal extraction is impossible when the errors are distributed according to a density with unbounded support and the underlying dynamical system admits homoclinic pairs. It is also shown that consistent signal e...

A study of the dynamical fluctuation property of jets is carried out using the Monte Carlo method. The results suggest that, the anisotropy of dynamical fluctuations in the hadronic system inside jets, changes abruptly with the variation of the cut parameter ycut. A transition point exists, where these fluctuations behave like those in soft hadronic collisions, i.e. being circular in the transv...