The purpose of this paper is to prove fixed point theorems for cyclic-type operators in extended b-metric spaces. well-posedness the problem and limit shadowing property are also discussed. Some examples given order support our results, last part considers some applications main results. first section devoted study existence a solution boundary value problem. In second section, we solutions fra...

Let $G$ be a countable monoid and let $A$ an Artinian group (resp. module). $\Sigma \subset A^G$ closed subshift which is also subgroup submodule) of $A^G$. Suppose that $\Gamma$ finitely generated consisting pairwise commuting cellular automata \to \Sigma$ are homomorphisms groups modules) with binary operation given by composition maps. We show the valuation action on $\Sigma$ satisfies natur...

Abstract In this article we study dynamical behaviour of generic Lebesgue measure-preserving interval maps. We show that for each k ⩾ 1 the set periodic points period at least is a Cantor Hausdorff dimension zero and upper box one. Moreover, obtain analogous results also in context circle Furthermore, building on former results, there dense collection transitive maps whose have full measure pos...

Molecular dynamics refers to the computer simulation of a material at the atomic level. An open problem in numerical analysis is to explain the apparent reliability of molecular dynamics simulations. The difficulty is that individual trajectories computed in molecular dynamics are accurate for only short time intervals, whereas apparently reliable information can be extracted from very long-tim...

In wireless networks, the same channel must be reused at different access points (APs). The co-channel interference (CCI) is a predominant factor that limits the transmission quality. Recently, we proposed an interferenceaware channel segregation based dynamic channel assignment (IACS-DCA) which forms a channel reuse pattern with low CCI in a distributed manner. In our proposed IACS-DCA, each A...

A raster-based computer graphics method of imaging volumetric data (data sampled on a three-dimensional grid) has been added to an existing molecular rendering program. Any molecular property expressed as a 30 grid of scalar data values can be displayed around and inside of the molecular van der Waals surface as a collection of colored clouds and transparent surfaces. Different antical properti...

We propose a segment description for turbulent solutions to evolution equations in an effort to develop an effective description rather than the classical Reynolds average. The new description has connections with symbolic dynamics and shadowing technique. The challenge of future study is how to effectively implement the description numerically.

Motivated by a study of Zimand (22nd CCC, 2007), we consider the average-case complexity of property testing (focusing, for clarity, on testing properties of Boolean strings). We make two observations: 1. In the context of average-case analysis with respect to the uniform distribution (on all strings of a fixed length), property testing is trivial. Specifically, either the yes-instances (i.e., ...

Close shadowing experiments involving natural and synthetic stimuli are here described. Preliminary results show that speakers are able to follow natural stimuli with an average delay less than 50 ms whereas this delay exceeds 100 ms for stimuli produced by Text-to-speech systems. A complementary experiment shows that this contrast is mainly due to prosody.