Non-linear non-radial oscillations of the self-gravitating disk taking into account halo

2020 ◽  
Vol 22 (6) ◽  
pp. 334-338
Author(s):  
K.A. Mannapova ◽  
K.T. Mirtadjieva

In this work, we have studied by numerical methods the evolution of non-radial oscillations of an unsteady disk, which is surrounded by a passive ellipsoidal halo with a uniform density. For this purpose, we have developed a special computer program. Numerical calculations are performed for various values of the system parameters, such as the initial perturbation, the circular speed of rotation of the disk, and the ratio of the halo mass to the disk mass. For each of the possible cases, a statistical amplitude is determined that characterizes the degree of deformation of the system. The critical values of the system parameters are found at which the halo stabilizes the non-linearly non-radial oscillations of the disk subsystem of galaxies at an early stage of their evolution.

2001 ◽  
Vol 6 (5) ◽  
pp. 511-521 ◽  
Author(s):  
E. J. Bradley ◽  
E. Calvert ◽  
M. K. Pitts ◽  
C. W. E. Redman

Entropy ◽  
2021 ◽  
Vol 23 (10) ◽  
pp. 1341
Author(s):  
Xiefu Zhang ◽  
Zean Tian ◽  
Jian Li ◽  
Xianming Wu ◽  
Zhongwei Cui

This paper reports a hidden chaotic system without equilibrium point. The proposed system is studied by the software of MATLAB R2018 through several numerical methods, including Largest Lyapunov exponent, bifurcation diagram, phase diagram, Poincaré map, time-domain waveform, attractive basin and Spectral Entropy. Seven types of attractors are found through altering the system parameters and some interesting characteristics such as coexistence attractors, controllability of chaotic attractor, hyperchaotic behavior and transition behavior are observed. Particularly, the Spectral Entropy algorithm is used to analyze the system and based on the normalized values of Spectral Entropy, the state of the studied system can be identified. Furthermore, the system has been implemented physically to verify the realizability.


2015 ◽  
Vol 226 (2) ◽  
pp. 93-102 ◽  
Author(s):  
Shiping Su ◽  
Xiaoxia Sun ◽  
Xiuhong Zhou ◽  
Fuigui Fang ◽  
Yunsheng Li

The bidirectional regulation of thymulin in the reproductive-endocrine function of the hypothalamic–pituitary–gonadal (HPG) axis of rats immunized againstGnRHremains largely unclear. We explored the alterations in hormones in the HPG axis in immunized rats to dissect the repressive effect of immunization on thymulin, and to clarify the interrelation of reproductive hormones and thymulinin vivo. The results showed that, in the first 2 weeks of booster immunization, thymulin was repressed when reproductive hormones were severely reduced. The self-feedback regulation of thymulin was then stimulated in later immune stages: the rising circulating thymulin upregulated LH and FSH, including GnRH in the hypothalamus, although the levels of those hormones were still significantly lower than in the control groups. In astrocytes, thymulin produced a feedback effect in regulated GnRH neurons. However, in the arcuate nucleus (Arc) and the median eminence (ME), the mediator of astrocytes and other glial cells were also directly affected by reproductive hormones. Thus, in immunized rats, the expression of glial fibrillary acidic protein was distinctly stimulated in the Arc and ME. This study demonstrated that thymulin was downregulated by immunization againstGnRHin early stage. Subsequently, the self-feedback regulation was provoked by low circulating thymulin. Thereafter, rising thymulin levels promoted pituitary gonadotropins levels, while acting directly onGnRHneurons, which was mediated by astrocytes in a region-dependent manner in the hypothalamus.


2013 ◽  
Vol 66 (5) ◽  
pp. 572 ◽  
Author(s):  
Richard J. Williams ◽  
James Gardiner ◽  
Anders B. Sorensen ◽  
Silvia Marchesan ◽  
Roger J. Mulder ◽  
...  

The early stages of the self-assembly of peptide hydrogels largely determine their final material properties. Here we discuss experimental methodologies for monitoring the self-assembly kinetics which underpin peptide hydrogel formation. The early stage assembly of an enzyme-catalysed Fmoc-trileucine based self-assembled hydrogel was examined using spectroscopic techniques (circular dichroism, CD, and solution NMR) as well as chromatographic (HPLC) and mechanical (rheology) techniques. Optimal conditions for enzyme-assisted hydrogel formation were identified and the kinetics examined. A lag time associated with the formation and accumulation of the self-assembling peptide monomer was observed and a minimum hydrogelator concentration required for gelation was identified. Subsequent formation of well defined nano- and microscale structures lead to self-supporting hydrogels at a range of substrate and enzyme concentrations. 1H NMR monitoring of the early self-assembly process revealed trends that were well in agreement with those identified using traditional methods (i.e. HPLC, CD, rheology) demonstrating 1H NMR spectroscopy can be used to non-invasively monitor the self-assembly of peptide hydrogels without damaging or perturbing the system.


2008 ◽  
Vol 58 ◽  
pp. 31-40 ◽  
Author(s):  
Hidetoshi Kobayashi ◽  
Keitaro Horikawa

The deployment of leaves with plane surface and straight parallel folds, as observed in leaves of hornbeam and beech, was investigated by using numerical methods. In both species the veins are angled at 30° to 50° from the midrib, when the leaves are outstretched. Although a higher angle allows the leaf to be folded more compactly within the bud, it has very small leaf area in the early stage of unfolding. The midrib of leaf grows very slowly at first and then it does with an almost constant speed. From the numerical simulation, it was found that the midrib grows with the minimum unfolding energy. The deployment of flowers was also investigated from mechanical point of view. A potato flower has five or six petals with triangle gussets between petals. The bud volume becomes largest when the number of petals, N, is five. However, the energy for unfolding of the model with N = 5 or 6 is smaller than those of other models, if the energy can be represented by the total kinetic energy during unfolding.


Osvitolohiya ◽  
2017 ◽  
pp. 44-51
Author(s):  
Maria Kultayeva ◽  

In the article are regarded some evolutional tendencies of philosophical pedagogy in the German theoretical tradition. The turn from the normative theories to functional-structuring ones is analyzed on the factual material of Neo-Hegelianism (E. Spranger, T. Litt) and on Adorno’s half-education theory, where the half-education is represented as a form of educational alienation und contributes its conversion to anti-education. One of the alternative theoretical variants proposed by A. Tremlis deduced from theory of the self-referent social systems. Is showed that critics and self-critics of different philosophical and pedagogical constructs is giving impulses for development of philosophical pedagogy as a reflection of the inside logic of learning and educational practices including the claims of globalization. Despite numerous publications devoted to the problem of philosophical and pedagogical comprehension of the challenges of globalization that education is challenged with, the issue is still at an early stage. Nevertheless, the analysis shows that it has already made a certain contribution to the study of real and possible pathologies for the development of modern education. The findings of the research show that the reflection of the state and problems of education in philosophical pedagogy is, at the same time, always a test of the ability of pedagogical theories to fulfill their general civilization function. The activation of its ability to self-criticism is required to cope with that. Without the above mentioned factor, it can easily integrate into political ideology or adapt to the demands of the mass culture, turning from the guardian of the humanistic potential of education into its academically trained destroyer.


Author(s):  
G. G. Moskaltchuk

The article deals with the results of the psycholinguistic experiment which prove the influence of the self-equality strategy in the process of spontaneous reaction text generation as a reaction on the stimulus “human life”. The materials have been analyzed with the help of a special computer program which marks the reaction texts parameters: text size in words (from space to space) and in sentences as well as the text formula reflecting the finite integral state of the whole. It has been found out that the self-equality as the principle of structuring speech forming activity is also used when producing reaction texts. The form reflects the hidden laws of the text synergetics and its synchronization with the speech-thought processes of the human acting with lack of time, it shows the hidden laws of the text formation. The probability of the realization of the 7 dominant models of the text form in the experiment is 824 texts of 1 thousand, in the directed one – 705 texts. The text formats reflect the discretization of the inner textual information. The average text size in the free experiment is 27.82 words, in sentences – 2.64, in the directed experiment – 12.34 and 6.79 sentences correspondingly. The reaction texts set on one page are formed by the tested according to a selected pattern and have hardly any stylistic, graphic and punctuation difference. The forms generated in the process of experiment are more end-oriented with attractors located in the end alongside with the dominant sense.


Author(s):  
Jie Shen ◽  
Guangfan Shen ◽  
Woo-Sung Kim ◽  
Uyanga Tsogt ◽  
Congcong Liu ◽  
...  

2019 ◽  
Vol 20 (1) ◽  
pp. 1-12
Author(s):  
David Morariu

AbstractThis study aims to analyze the Romanian critical discourses of the second half of the 19th century and especially of the first half of the 20th century, starting from the central concept of “self-colonization”, coined by Alexander Kiossev. The article opens with the conceptual delimiting of the phenomenon imposed by the Bulgarian theoretician and with the hypothesis that Romanian culture can be attributed to self-colonizing cultures. The demonstration of this hypothesis consists of three arguments. The critical discourses belonging to G. Ibrăileanu, E. Lovinescu and C. Dobrogeanu-Gherea highlight, firstly, some of the characteristics of this self-subordination relation. The way the first two emphasize the role of imitation, the necessity of adopting the foreign models and the way Gherea treats the dependence upon the West under an economic report, represent, briefly, the center of the first part of the demonstration. The second one brings to the fore Mihail Kogălniceanu and Titu Maiorescu’s profiles, their discourses being characterized by clumsiness and flaws so typical for a culture found in an early stage of its development. The last argument broadens the scope of the demonstration in the sense that the analysis focuses on social and economic delimiting. The purpose of this delimiting is to establish which are the areas that are more responsive to the manifestation of the self-colonizing phenomenon.


Entropy ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. 1055
Author(s):  
Bogatov ◽  
Podgursky ◽  
Vagiström ◽  
Yashin ◽  
Shaikh ◽  
...  

The paper investigates the variation of friction force (Fx) during reciprocating sliding tests on nanocrystalline diamond (NCD) films. The analysis of the friction behavior during the run-in period is the focus of the study. The NCD films were grown using microwave plasma-enhanced chemical vapor deposition (MW-PECVD) on single-crystalline diamond SCD(110) substrates. Reciprocating sliding tests were conducted under 500 and 2000 g of normal load using Si3N4 balls as a counter body. The friction force permanently varies during the test, namely Fx value can locally increase or decrease in each cycle of sliding. The distribution of friction force drops (dFx) was extracted from the experimental data using a specially developed program. The analysis revealed a power-law distribution f-µ of dFx for the early stage of the run-in with the exponent value (µ) in the range from 0.6 to 2.9. In addition, the frequency power spectrum of Fx time series follows power-law distribution f-α with α value in the range of 1.0–2.0, with the highest values (1.6–2.0) for the initial stage of the run-in. No power-law distribution of dFx was found for the later stage of the run-in and the steady-state periods of sliding with the exception for periods where a relatively extended decrease of coefficient of friction (COF) was observed. The asperity interlocking leads to the stick-slip like sliding at the early stage of the run-in. This tribological behavior can be related to the self-organized criticality (SOC). The emergence of dissipative structures at the later stages of the run-in, namely the formation of ripples, carbonaceous tribolayer, etc., can be associated with the self-organization (SO).


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