Acta of Turin Polytechnic University in Tashkent

On Hitting Times of Circle Maps with Generalized Dynamical Partitions

2024-01-03T11:58:19+00:00

In present work we study the hitting times for circle homeomorphisms with one break point and universal renormalization properties. Consider the set $X(\rho) $ of all orientation preserving circle homeomorphisms $T\in C^{2+\varepsilon}(S^{1}\setminus\{x_{b}\}),\,\,\,\varepsilon>0,$ with one break point $ x_{b}$ and irrational rotation number $\rho_{T}=\frac{-k+\sqrt{{{k}^{2}}+4}}{2},\,\,k\ge 1.$
For each $n\geq1$ we define $c_{n}:=c_{n}(c)$ such that $\mu([x_{b},c_{n}])=c\cdot\mu([x_{b},T^{q_{n}}(x_{b})]),$ where $q_{n}$
are first return times of $T.$ Denote by $E_{n,c}(x)$ first hitting times of $x$ to interval $[x_{b},c_{n}]. $ Consider the rescaled first hitting time $\overline{E}_{n,c}:=\frac{1}{q_{n+1}}E_{n,c}(x)$. We study convergence in law of random variables $\overline{E}_{n,c}(x).$ We show that the limit distribution is singular w.r.t. Lebesgue measure.

INVARIANT MEASURE OF CRITICAL CIRCLE HOMEOMORPHISMS WITH COUNTABLE NUMBER OF BREAKS

2024-05-30T08:00:19+00:00

It is proved that invariant measures of P -homeomorphisms of a circle with countable
many break points and with single critical point, and an irrational rotation number are
singular with respect to the Lebesgue measure on the circle.

The Neumann eigenvalue problem for the p(x) -Laplacian as p → ∞

2024-09-27T12:46:06+00:00

This paper is dedicated to the study of the behaviour of the second eigenvalues and the corresponding eigenfunctions for the p(x)-Laplacian subject to the Neumann boundary conditions in an open, bounded domain Ω ⊂ RN with smooth boundary. As p → ∞ one can obtain uniform bounds for the sequence of second eigenvalues and the positive second eigenfunctions. In the latter case, the uniform limit is a viscosity solution to a problem involving the ∞-Laplacian subject to appropriate boundary conditions.

OVERVIEW OF REGENERATIVE BRAKING PARAMETERS ELECTRIC VEHICLE SYSTEMS

2024-01-16T12:14:15+00:00

The number of electric vehicles in the cities of Uzbekistan increases every year. Uzbekistan is one of the promising destinations in the field of transport, with a developing infrastructure necessary for the comfortable use of vehicles of this type. The development of this industry requires solving a number of problems, including the development of regulatory documents, the formation of solution methods and the development of infrastructure. This article is aimed at analyzing and justifying the operation of regenerative and braking systems of electric vehicles.

ASSESSMENT AND WAYS TO IMPROVE THE QUALITY OF THE WORKING PROCESS OF DIESEL ENGINES UNDER THE CONDITIONS OF JSC « O‘ZBEKISTON TЕMIR YO‘LLARI »

2024-03-19T09:26:48+00:00

The paper presents an analysis of the operating modes of diesel engines in the conditions of JSC "O‘zbekiston temir yo‘llari". With the help of a mathematical model of a diesel engine, the influence of a change in the gas distribution phases on the main technical and economic parameters of a diesel engine is determined. The criterion of optimality, which characterizes the quality of working processes in the piston part of a diesel engine, is determined.

Technical and economic feasibility of using a gas generator unit using the example of Angren TPP JSC

2024-03-19T09:21:09+00:00

The article provides a feasibility study for the imple-mentation of a layered gasification installation for Angren brown coal, as well as the possibility of using the resulting generator gas as fuel for lighting in boilers of the TP-230-2 type at Angren TPP JSC. The qualitative characteristics of the resulting generator gas are given, and annual atmospheric emissions from the combustion of generator gas are calculated. A technological scheme for con-necting a gas generator installation to an existing boiler unit of the TP-230-2 type is proposed.

V2X Communication in Electric Vehicles - A Comprehensive Review

2024-03-15T08:59:00+00:00

This article explores the transformative role of Vehicle-to-Everything (V2X) communication in the context of electric vehi-cles (EVs). Recent technological advancements, including 5G con-nectivity, edge computing, and machine learning, are investigated for their impact on V2X systems. Practical implementations, such as connected intersection management, cooperative adaptive cruise control, and emergency vehicle signal preemption, showcase tangi-ble benefits in safety, efficiency, and sustainability. Despite these advancements, challenges such as reliability, security, and interop-erability persist, necessitating careful consideration for widespread adoption. The significance of V2X communication lies in its po-tential to enhance safety features, efficiency, and grid integration in EVs. This collaborative ecosystem, when integrated with continued technological innovation, policy support, and consumer adoption, is poised to reshape the future of transportation, creating smarter, more connected, and sustainable mobility solutions.

RESEARCH ANALYSIS RESULTS OF COMPARED PRODUCTION TESTS OF THE MODERNIZED SEWING MACHINE WITH SELECTED TENSIONING DEVICES

2024-03-19T07:59:08+00:00

The article presents the results of comparative production tests of a modernized sewing machine with recommended needle and hook thread tensioners. The constructive execution and selected parameters of tensioning devices, which allowed obtaining high-quality stitches in comparison with the existing sewing machine, are substantiated.

Blockchain Technology: Paving the Way for a New Digital Economy

2024-09-25T14:57:55+00:00

The modern economic landscape is swiftly transitioning to a primarily digital paradigm. This budding digital economy stands at the forefront of economic advancement, reshaping business relations built on information-driven B2B collaborations. Newly emerging digital strategies and information networking are becoming crucial in a progressively globalised economy. These changes mark the shift from a territorially-bound real economy to an interconnected, online one. This evolution is fostering the development and introduction of innovative business approaches. With the rise of blockchain technology, the digital economic arena is set for deeper integration worldwide. This paper explores the transformative role of blockchain in the digital economy and its potential to advance the sector further.

Synthesis of copper nanoparticles using ultrasound and magnetic field

2024-06-12T10:09:34+00:00

In this paper, copper nanoparticles were synthesized us-ing a chemical method. A constant magnetic field of 1.25 T and ultrasound were used to synthesize copper nanoparticles, and their effect on the properties and morphology of the nanoparticles was studied. The synthesized nanoparticles were characterized using X-ray diffraction (XRD) and SEM analysis. It has been proven that ascorbic acid has a good stabilizing effect, protecting copper nanoparticles from oxidation for a long period. The presence of polyvinylpyrrolidone (PVP) polymer effectively stabilizes particles during the synthesis process due to the dispersive effect of ultra-sound. This stabilizing effect of PVP helps to achieve a constant particle size, preventing excessive agglomeration and promoting stable particle growth. The size of nanoparticles synthesized us-ing a magnetic field is significantly smaller than without using a magnetic field.

A Student-Oriented Approach in Teaching Technical Students

2024-10-17T05:10:41+00:00

Nowadays, the socio-political, economic and cultural development of the social life in Uzbekistan, a change in the educational paradigm is taking place, as a result of which a person-oriented approach becomes the leading one, allowing to create conditions for effective training and further professional development of the specialist’s personality, its improvement and continuous education. We consider, a student-oriented approach in teaching foreign languages as a professional communication phenomenon to future specialists in non-linguistic universities is a process of organizing training that fully stimulates the manifestation of the student’s intellectual activity and helps to awaken his interest in himself as a linguistic personality. This approach is implemented by communicative means and situations that encourage the student to actively search for personal realization, the value of communicative experience for the development of a person as an individual. The indispensable conditions for the effectiveness of teaching foreign professional communication in the context of a personality-oriented approach, we consider: the implementation of the subject-subject relationship between the teacher and the student; the leading and guiding role of the teacher in the educational process; the use of traditional and innovative pedagogical technologies and methods, technical means, active and interactive forms of training.