scholarly journals COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS

2012 ◽  
Vol 22 (10) ◽  
pp. 1230033 ◽  
Author(s):  
L. A. DARRIBA ◽  
N. P. MAFFIONE ◽  
P. M. CINCOTTA ◽  
C. M. GIORDANO

The reader can find in the literature a lot of different techniques to study the dynamics of a given system and also, many suitable numerical integrators to compute them. Notwithstanding the recent work of [Maffione et al., 2011b] for mappings, a detailed comparison among the widespread indicators of chaos in a general system is still lacking. Such a comparison could lead to select the most efficient algorithms given a certain dynamical problem. Furthermore, in order to choose the appropriate numerical integrators to compute them, more comparative studies among numerical integrators are also needed. This work deals with both problems. We first extend the work of [Maffione et al., 2011b] for mappings to the 2D [Hénon & Heiles, 1964] potential, and compare several variational indicators of chaos: the Lyapunov Indicator (LI); the Mean Exponential Growth Factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI) and its generalized version, the Generalized Alignment Index (GALI); the Fast Lyapunov Indicator (FLI) and its variant, the Orthogonal Fast Lyapunov Indicator (OFLI); the Spectral Distance (D) and the Dynamical Spectra of Stretching Numbers (SSNs). We also include in the record the Relative Lyapunov Indicator (RLI), which is not a variational indicator as the others. Then, we test a numerical technique to integrate Ordinary Differential Equations (ODEs) based on the Taylor method implemented by [Jorba & Zou, 2005] (called taylor), and we compare its performance with other two well-known efficient integrators: the [Prince & Dormand, 1981] implementation of a Runge–Kutta of order 7–8 (DOPRI8) and a Bulirsch–Stöer implementation. These tests are run under two very different systems from the complexity of their equations point of view: a triaxial galactic potential model and a perturbed 3D quartic oscillator. We first show that a combination of the FLI/OFLI, the MEGNO and the GALI 2N succeeds in describing in detail most of the dynamical characteristics of a general Hamiltonian system. In the second part, we show that the precision of taylor is better than that of the other integrators tested, but it is not well suited to integrate systems of equations which include the variational ones, like in the computing of almost all the preceeding indicators of chaos. The result which induces us to draw this conclusion is that the computing times spent by taylor are far greater than the times consumed by the DOPRI8 and the Bulirsch–Stöer integrators in such cases. On the other hand, the package is very efficient when we only need to integrate the equations of motion (both in precision and speed), for instance to study the chaotic diffusion. We also notice that taylor attains a greater precision on the coordinates than either the DOPRI8 or the Bulirsch–Stöer.

2017 ◽  
Vol 6 (1) ◽  
pp. 17-35 ◽  
Author(s):  
D. K. Sharma ◽  
Himani Mittal ◽  
Sita Ram Sharma ◽  
Inder Parkash

We considera dynamical problem for semi-infinite viscothermoelastic semi infinite cylinder loaded mechanically and thermally and investigated the behaviour of variations of displacements, temperatures and stresses. The problem has been investigated with the help of five theories of the generalized viscothermoelasticity by using the Kelvin – Voigt model. Laplace transformations and Hankel transformations are applied to equations of constituent relations, equations of motion and heat conduction to obtain exact equations in transformed domain. Hankel transformed equations are inverted analytically and for the inversion of Laplace transformation we apply numerical technique to obtain field functions. In order to obtain field functions i.e. displacements, temperature and stresses numerically we apply MATLAB software tools. Numerically analyzed results for the temperature, displacements and stresses are shown graphically.


Author(s):  
Joseph Prijotomo

<p>‘Space’ and ‘Better living’ are continuing issues and discourse in architecture. It covers as large as philosophical to practical ones. We may find, for instance, issues in space as one of construction of mind in one extreme, and space as one of volume in certain magnitude at its other extreme. In terms of better living we may also find similar extremes. We may also find that since the times of modern era, space is practically considered as volume of certain magnitude, as is exemplified in a number of standards of areas needed for particular activity;<br />while in terms of better living the focus is in comfort that should be provided in particular room. Unfortunately, we –the Indonesians-- hardly aware and realize that they are not only of western sources, but more importantly, of western mindset. Since they are beautifully and neatly concealed under one objectivity of mind and reason, science, most of us know and accept them as the objective and correct standards. The fact that the West (ie. Europe and North America) are region with four seasons climate system has unavoidably underlies the building of those standards and knowledge. Indonesia and other tropical areas of the world is not region in such a four seasons climate system; it is in a two seasons climate system. This two climate seasons is not simply a variant of climate system; it is of ‘the other’ climate system, as will be demonstrated in this paper. Hence, we may consider this paper as talking about space for better living’ from the point of view of climate system.</p><p>The clock remains ticking, While the ideals of having architecture that serves better living is always at hand, we are confronted with the question whose living: the wealthy few or every single people, the elite or the common and the elite people. To the four season climate system, living with artificial climate is not incorrect; even the attitude of taking aside the climate is understandable. To the two season climate system, living with natural climate is also not incorrect; and the attitude of optimizing the natural climate is understandable. These two climate system is fundamentally different, and it must be a fatal mistake and fundamental incorrectness to deal with one as a variant of the other. The fact that our knowledge in two season climate system is very poor, that does not mean that this system be discarded.</p><p>The call for architecture for better living is demanding a definite respond: a denial (and ultimately, elimination) of two season climate system, or an equal, yet distinct, both two and four season climate system. The former is quite easy while the latter requires hard work. The former will make architecture in Indonesia serves the wealthy few, while the latter will serves the whole people of Indonesia.</p>


2018 ◽  
Vol 2 (1) ◽  
pp. 60
Author(s):  
Zaitur Rahem

Portrait of education in the homeland, one side shows the achievements to be proud of. A number of developments in education can move with the rhythm of the times. Material, procedural education in Indonesia increasingly steady occupy its position. However, on the other hand, there are a number of issues that have not been completed yet. Among these issues are character, education professionalism, organizational governance professionalism, and maximization of learning. These issues become big obstacles / challenges posed a serious threat in the course of the Indonesian education world. The bid of theory, including the release of Imam al-Ghazali's thought in his two books ايها الولد and كيمياء السعا دة, in the review of this article becomes the point of view as an alternative conceptual offer in addressing existing educational problems. Although the review in this article's review is conceptual-research, the author compiles Imam al-Ghazali's thought with the real context of the homeland education issue. According to Imam al-Ghazali in the study of ايها الولد and كيمياء السعا دة, character education begins early without regard to the limit of formality. As a result, the thought of this medieval clergy remained synergistic and became a necessary issue as a solution to the problem of education in Indonesia.


Author(s):  
Donald W. Winnicott

In this unpublished letter to The Times, Winnicott points out some ill effects of a total state medical service, including the potential subservience of medical practice to politics rather than science. He reminds readers that already a Minister of Health without scientific training has would become the one to decide not to include osteopathy and faith-healing in the state medical service, which from the doctor’s point of view is just as bad as if he had decided the other way.


2015 ◽  
Vol 10 (1) ◽  
Author(s):  
Nur Hidayah

<p>Kajian ini bertujuan untuk mendeskripsikan redefinisi ontologi aswaja dalam pendidikan ma`arif di era kontemporer. Pendekatan dalam peneltian ini adalah penelitian kepustakaan. Makna Aswaja selalu mengalami pergeseran dari waktu ke waktu. Di sisi lain, konsep aswaja selalu memiliki makna yang berbeda ketika sudah berafiliasi dengan kelompok tertentu. Tak terkecuali, Nahdhatul Ulama sebagai organisasi kemasyarakatan juga memiliki konsep yang khas mengenai aswaja. Hal ini secara langsung berpengaruh pada lembaga-lembaga yang bernaung dibawahnya, seperti halnya Ma’arif. Seiring dengan perkembangan zaman, aswaja NU menjadi semakin ekslusif akibat dari pemahaman para pengikutnya. Banyak kritikan-kritikan dari para tokoh NU kontemporer yang muncul. Definisi aswaja kemungkinan besar akan kembali menjadi ekslusif di kalangan NU. Dari sini diperlukan definisi baru dari sudut pandang lain. Hasil dari kajian ini menyimpulkan bahwa sikap taat dan tunduk pada Allah secara total yang bermuara dari ilmu yang senantiasa diamalkannya adalah definisi baru dari Aswaja ditinjau dari sudut pandang ontologi yang penulis coba tawarkan dalam penulisan ini.</p><p>Kata kunci: ontologi aswaja, pendidikan ma’arif, kontemporer</p><p><em>RE</em><em>D</em><em>E</em><em>FINITION </em><em>O</em><em>F </em><em>A</em><em>S</em><em>W</em><em>A</em><em>JA ONTOLOGY </em><em>I</em><em>N THE CONTEM- PORARY ERA OF MA’ARIF  EDUCATION.  This study aims to describe the redefinition of aswaja ontology in ma’arif education in the contemporary  era. The approach of this study is library research. The meaning of Aswaja has always experienced a shift from time to time. On the other hand, the concept of aswaja has always had a different meaning when it was affiliated with a particular group. No exception, Nahdhatul  Ulama as a civic organization   also  has a distinctive concepts regarding aswaja. It is directly influential on the institutions which take shelter below, as does Ma’arif. Along with the development of the times, aswaja NU are becoming increasingly exclusive as the result of understanding his followers understanding. Much of the criticisms from the contemporary proponents of NU has been appeared. The definition of aswaja will most likely return to being exclusive among NU. Consequently, it takes a new definition from another point of view. The result of this study sum that attitude of obedience and submission to God in total that rises from the science that always be applied is the new definition of Aswaja reviewed from the viewpoint of ontology that the writer tries to offer in this writing.</em></p><p><strong><em>Keywords: </em></strong><em>A</em><em>s</em><em>w</em><em>aja </em><em>o</em><em>n</em><em>t</em><em>o</em><em>logy, </em><em>m</em><em>a</em><em>’</em><em>a</em><em>r</em><em>i</em><em>f</em><em> </em><em>educat</em><em>ion, </em><em>co</em><em>n</em><em>t</em><em>em</em><em>p</em><em>o</em><em>r</em><em>a</em><em>r</em><em>y</em></p>


2005 ◽  
Vol 19 (3) ◽  
pp. 129-132 ◽  
Author(s):  
Reimer Kornmann

Summary: My comment is basically restricted to the situation in which less-able students find themselves and refers only to literature in German. From this point of view I am basically able to confirm Marsh's results. It must, however, be said that with less-able pupils the opposite effect can be found: Levels of self-esteem in these pupils are raised, at least temporarily, by separate instruction, academic performance however drops; combined instruction, on the other hand, leads to improved academic performance, while levels of self-esteem drop. Apparently, the positive self-image of less-able pupils who receive separate instruction does not bring about the potential enhancement of academic performance one might expect from high-ability pupils receiving separate instruction. To resolve the dilemma, it is proposed that individual progress in learning be accentuated, and that comparisons with others be dispensed with. This fosters a self-image that can in equal measure be realistic and optimistic.


Author(s):  
I. R. Khuzina ◽  
V. N. Komarov

The paper considers a point of view, based on the conception of the broad understanding of taxons. According to this point of view, rhyncholites of the subgenus Dentatobeccus and Microbeccus are accepted to be synonymous with the genus Rhynchoteuthis, and subgenus Romanovichella is considered to be synonymous with the genus Palaeoteuthis. The criteria, exercising influence on the different approaches to the classification of rhyncholites, have been analyzed (such as age and individual variability, sexual dimorphism, pathological and teratological features, degree of disintegration of material), underestimation of which can lead to inaccuracy. Divestment of the subgenuses Dentatobeccus, Microbeccus and Romanovichella, possessing very bright morphological characteristics, to have an independent status and denomination to their synonyms, has been noted to be unjustified. An artificial system (any suggested variant) with all its minuses is a single probable system for rhyncholites. The main criteria, minimizing its negative sides and proving the separation of the new taxon, is an available mass-scale material. The narrow understanding of the genus, used in sensible limits, has been underlined to simplify the problem of the passing the view about the genus to the other investigators and recognition of rhyncholites for the practical tasks.


2017 ◽  
Vol 4 (1) ◽  
pp. 41-61
Author(s):  
Pelin Sönmez ◽  
Abulfaz Süleymanov

Türkiye, Cumhuriyet tarihinin en yoğun zorunlu göç dalgasını 2011 yılından bu yana süren Suriye Savaşı ile yaşamaktadır. Suriye vatandaşlarının geçici koruma statüsü altında Türkiye toplumuna her açıdan entegrasyonları günümüzün ve geleceğin politika öncelikleri arasında düşünülmelidir. Öte yandan ülkeye kabul edilen sığınmacıların kendi kültürel kimliğini kaybetmeden içinde yaşadığı ev sahibi topluma uyumu, ortak yaşam kültürünün gelişmesi açısından önem arz etmektedir. Bu makalede, "misafir" olarak kabul edilen Suriyeli vatandaşların Türk toplumunca kabul edilmeleri ve dışlanma risklerinin azaltılmasına yönelik devlet politikaları ortaya konularak, üye ve aday ülkelere göçmenlerin dışlanmasını önlemek için Avrupa Birliği (AB) tarafından sunulan hukuki yapı ve kamu hizmeti inisiyatifleri incelenmekte, birlikte yaşam kültürü çerçevesinde Suriyeli vatandaşlara yönelik  toplumsal kabul düzeyleri ele alınmaktadır. Çalışma iki ana bölümden oluşmaktadır: göçmen ve sığınmacılara karşı toplumsal dışlanmayı engellemek için benimsenen yasa ve uygulamaların etkisi ve İstanbul-Sultanbeyli bölgesinde Suriyeli sığınmacılarla ilgili toplumsal algı çalışmasının sonuçları. Bölgede ikamet eden Suriyelilere yönelik toplumsal kabul düzeyinin yüksek olduğu görülürken, halkın Suriyelileri kendilerine  kültürel ve dini olarak yakın hissetmesi toplumsal kabul düzeyini olumlu etkilemektedir. ABSTRACT IN ENGLISHAn evaluation of the European Union and Turkish policies regarding the culture of living togetherThis article aims to determine the level of social acceptance towards Syrians within the context of cohabitation culture by evaluating EU’s legal structure and public service initiatives in order to prevent Syrian refugees from being excluded in member and candidate countries and by revealing government policies on acceptance of Syrians as “guest” by Turkish society and minimizing the exclusion risks of them. This article consists of two main parts, one of which is based on the effects of law and practices preventing refugees and asylum seekers from social exclusion, and the other is on the results of social perception on Syrians in Sultanbeyli district of Istanbul. At the end of 5-years taking in Syrian War, it is obvious that most of more than 3 million Syrian with unregistered ones in Turkey are “here to stay”. From this point of view, the primary scope of policies should be specified in order to remove side effects of refugee phenomenon seen as weighty matter by bottoming out the exclusion towards those people. To avoid possible large-scale conflicts or civil wars in the future, the struggle with exclusion phenomenon plays a crucial role regarding Turkey’s sociological situation and developing policies. In the meaning of forming a model for Turkey, a subtitle in this article is about public services for European-wide legal acquis and practices carried out since 1970s in order to prevent any exclusion from the society. On the other hand, other subtitles are about legal infrastructure and practices like Common European Asylum and Immigration Policies presented in 2005, and Law on Foreigners and International Protection introduced in 2013. In the last part of the article, the results of a field survey carried out in a district of Istanbul were used to analyze the exclusion towards refugees in Turkey. A face-to-face survey was randomly conducted with 200 settled refugees in Sultanbeyli district of Istanbul, and their perceptions towards Syrian people under temporary protection were evaluated. According to the results, the level of acceptance for Syrians living in this district seems relatively high. The fact that Turkish people living in the same district feel close to Syrian refugees culturally and religiously affect their perception in a positive way: however, it is strikingly seen and understood that local residents cop an attitude on the refugees’ becoming Turkish citizens.


2012 ◽  
Vol 5 (2) ◽  
pp. 109
Author(s):  
Besin Gaspar

This research deals with the development of  self concept of Hiroko as the main character in Namaku Hiroko by Nh. Dini and tries to identify how Hiroko is portrayed in the story, how she interacts with other characters and whether she is portrayed as a character dominated by ”I” element or  ”Me”  element seen  from sociological and cultural point of view. As a qualitative research in nature, the source of data in this research is the novel Namaku Hiroko (1967) and the data ara analyzed and presented deductively. The result of this analysis shows that in the novel, Hiroko as a fictional character is  portrayed as a girl whose personality  develops and changes drastically from ”Me”  to ”I”. When she was still in the village  l iving with her parents, she was portrayed as a obedient girl who was loyal to the parents, polite and acted in accordance with the social customs. In short, her personality was dominated by ”Me”  self concept. On the other hand, when she moved to the city (Kyoto), she was portrayed as a wild girl  no longer controlled by the social customs. She was  firm and determined totake decisions of  her won  for her future without considering what other people would say about her. She did not want to be treated as object. To put it in another way, her personality is more dominated by the ”I” self concept.


Metahumaniora ◽  
2017 ◽  
Vol 7 (3) ◽  
pp. 411
Author(s):  
Abu Bakar Ramadhan Muhamad

AbstrakHegemoni kolonialisme dalam budaya poskolonial merupakan alasan penelitian inikemudian mengkaji wacana kolonial dalam novel Max Havellar (MH) khususnya dampakditimbulkannya. Dampak dimaksud adalah posisi keberpihakan pemikiran tersirat darikarya tersebut. Hasil pembahasan menunjukkan, secara temporal maupun permanen MHmenyuarakan ketidakadilan dalam kondisi-kondisi kolonial menyangkut penindasan sangpenjajah terhadap terjajah. Hanya saja, upaya mengatasnamakan atau mewakili suarakaum terjajah terbukti mengimplikasikan ciri ideologis statis kerangka kolonialisme(orientalisme); yakni cara pandang Eropasentris, di mana “Barat” sebagai self adalah superior,dan “Timur” sebagai other adalah inferior. Dalam konteks poskolonialisme, MH dengan sifatkritisnya yang berupaya “menyuarakan” nasib pribumi terjajah, justru menampilkan stigmapenguatan kolonialitas itu sendiri secara hegemonik. Artinya, “menyuarakan” nasib pribumidimaknai sebagai keberpihankan kolonial yang kontradiktif, di mana stigma penguatankolonialitas justru lebih terasa, ujung-ujungnya melanggengkan hegemoni kolonial. Tidakmembela yang terjajah, tetapi memperhalus cara kerja mesin kolonial.AbstractThe hegemony of colonialism in the culture of postcolonial society is the reason this studythen examines the colonial discourse in the novel Max Havellar (MH) in particular the impactit brings. The impact in question is the implied position of thought in the work. The resultsof the discussion show that, temporarily or permanently, MH voiced injustice in the colonialconditions regarding the oppression of the colonist against the colonized. However, the effort toname or represent the voice of the colonized has proven to imply a static ideological characterin the framework of colonialism (orientalism); ie Eropacentric point of view, in which “West” asself is superior, and “East” as the other is the inferior. In the context of postcolonialism, MH withits critical nature that seeks to “voice” the fate of the colonized natives, actually presents thestigma of strengthening coloniality itself hegemonicly. That is, “voicing” the fate of the pribumiis interpreted as a contradictory colonial flare, where the stigma of strengthening colonialityis more pronounced, which ultimately perpetuates the hegemony of colonialism. No longerdefending the colonized, but refining the workings of the colonial machinery.


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