PolyAgent/wiki_arabic_en_parallel_20231101 huggingface dataset:
Graham Lake (cricketer)

Graham Lake (cricketer)
Graham Johnson Lake (13 April 1935 – 15 February 2023) was an English scientist known for his contributions to understanding rubber's fatigue limit, and a former professional English cricketer.
Scientific career
Lake began his scientific career as a research assistant in 1958 at the British Rubber Producer's Research Association. During his employment at BRPRA, he attended evening classes at the University of London, achieving a B.Sc. in Physics in 1962, and a Ph.D. in 1967. He undertook fundamental studies of the fatigue properties of elastomers, and established the principle that fatigue cracks develop from pre-existing features of rubber's microstructure, in accordance with the expectations of Fracture Mechanics. Together with doctoral student Oon Hock Yeoh he also studied the mechanics of cutting of rubber with a blade, thereby establishing the principle that rubber's intrinsic strength and fatigue limit are the same and that they can be measured via cutting experiments.
Lake received the 1995 Colwyn Medal. In 2003, he received the Charles Goodyear Medal in recognition of the significance of his contributions to rubber science.
A symposium was organized in 2003 to honor the 50th anniversary of the development of Fracture Mechanics for rubber, and the symposium title was chosen as 'Fracture Mechanics and Elastomers: 50 not out', in reference to Lake's past career as a professional cricketer.
Cricket
Lake was a right-arm fast-medium bowler and right-handed tail-end batsman.
Lake made his first-class debut for Gloucestershire against Sussex in the 1956 County Championship. He made 12 further first-class appearances, the last of which came against Oxford University in 1958. In his 13 first-class matches, he scored 106 runs at an average of 7.57, with a high score of 18. With the ball, he took 17 wickets at a bowling average of 27.29, with best figures of 4/39.
References
External links
Graham Lake at ESPNcricinfo
Graham Lake at CricketArchive
1935 births
2023 deaths
Alumni of the University of London
Polymer scientists and engineers
Cricketers from Croydon
English cricketers
Gloucestershire cricketers
Glasgow, Illinois

Glasgow, Illinois
Glasgow is a village in Scott County, Illinois, United States. The population was 170 at the 2000 census. It is part of the Jacksonville Micropolitan Statistical Area.
Geography
Glasgow is located at (39.550309, -90.480761).
According to the 2010 census, Glasgow has a total area of , all land.
Demographics
As of the census of 2000, there were 170 people, 66 households, and 52 families residing in the village. The population density was . There were 72 housing units at an average density of . The racial makeup of the village was 100.00% White.
There were 66 households, out of which 31.8% had children under the age of 18 living with them, 69.7% were married couples living together, 4.5% had a female householder with no husband present, and 21.2% were non-families. 19.7% of all households were made up of individuals, and 7.6% had someone living alone who was 65 years of age or older. The average household size was 2.58 and the average family size was 2.96.
In the village, the population was spread out, with 25.3% under the age of 18, 5.9% from 18 to 24, 28.8% from 25 to 44, 22.9% from 45 to 64, and 17.1% who were 65 years of age or older. The median age was 41 years. For every 100 females, there were 107.3 males. For every 100 females age 18 and over, there were 122.8 males.
The median income for a household in the village was $25,000, and the median income for a family was $30,000. Males had a median income of $27,917 versus $16,250 for females. The per capita income for the village was $11,172. About 16.0% of families and 20.2% of the population were below the poverty line, including 29.2% of those under the age of eighteen and none of those 65 or over.
References
Villages in Scott County, Illinois
Villages in Illinois
Jacksonville, Illinois micropolitan area
بيتر كارابالو

بيتر كارابالو هو لاعب كرة قدم برتغالي في مركز الهجوم، ولد في 25 سبتمبر 1992 في لوزان في سويسرا. لعب مع .
مراجع
وصلات خارجية
لاعبو كرة قدم رجالية برتغاليون
مهاجمو كرة قدم رجالية
رياضيون من لوزان
لاعبو أورينتال دي لشبونة
لاعبو الدوري البرتغالي الدرجة الأولى
لاعبو كرة قدم برتغاليون
لاعبو نافال
مواليد 1992
لاعبو كرة قدم من لوزان
John of Burgundy (1231–1268)

John of Burgundy (1231–1268)
John of Burgundy (1231 – 29 September 1268) was a Count of Charolais and Lord of Bourbon. He was a younger son of Duke Hugh IV of Burgundy and his wife, Yolande of Dreux.
John married in February 1248 to Agnes (d. 1288), the heiress of Lord Archambaud IX of Bourbon from the House of Dampierre. After the death of his father-in law in 1249 John became Lord of Bourbon in right of his wife.
John and Agnes had a daughter, Beatrice (d. 1310), who inherited possessions from both of her parents. In 1272, she married the royal Prince Robert, Count of Clermont and thereby founded the Capetian dynasty of the Bourbons.
External links
Entry at genealogie-mittelalter.de
Counts of France
House of Burgundy
Medieval French nobility
1231 births
1268 deaths
13th-century French people
116 هـ

116 هـ هي سنة في التقويم الهجري امتدت مقابلةً في التقويم الميلادي بين سنتي 734 و735.
وفيات
الجنيد بن عبد الرحمن المري
انظر أيضًا
أحداث ومواليد ووفيات وقعت في الفترة الأولى من سنة 116 هـ
أحداث ومواليد ووفيات وقعت في الفترة الثانية من سنة 116 هـ
مراجع
تقويم هجري
درويش سعيد

درويش سعيد لاعب كرة قدم سعودي سابق.
هو درويش محمد سعيد عوض مواليد 1381هـ في السعودية, مهاجم سابق مع نادي النصر والمنتخب السعودي.
مثل درويش سعيد نادي النصر في مدة قصيرة وهي عبارة عن سبع سنوات, ولكنها كانت كفيلة بحفر اسمه في ذاكرة جماهير وعشاق نادي النصر, حيث يعتبر من أفضل اللاعبين الذين مروا على النصر عبر تاريخه.
وهو من الجيل الذهبي الثالث الذي حافظ على انتصارات النصر وبطولاته الكبرى, صعد للفريق الأول عام 1397هـ مع ماجد عبد الله ويوسف خميس وعبد الله عبدربه, وكان من أبرز اللاعبين البدلاء ولم يلعب أساسياً إلا في عام 1400هـ.
لعب كجناح أيسر تقليدي واستطاع المدرب البرازيلي فورميقا أن يوظف إمكاناته بطريقة مدهشة بداية من موسم 1400هـ والذي يعتبر الموسم الذهبي لهذا اللاعب المهاري.
عرف عن درويش سعيد المهارات الفردية وقوة القدم اليسرى, ولو توفر طول القامة لهذا اللاعب لشكل خطورة أكبر من خطورته التي عرفت عنه, حيث كان قصير القامة بشكل ملفت للنظر.
شكل درويش سعيد مع ماجد عبد الله وعبد الله عبد ربه قوة هجومية مرعبة طوال أربعة مواسم بداية من موسم 1400هـ وخاصة موسمي 1400هـ و1401هـ والتي حقق من خلالها النصر بطولة الدوري الممتاز مرتين متتاليتين كأول فريق في المملكة يحتكر بطولة الدوري.
وحل حينها درويش سعيد ثانياً بعد ماجد عبد الله في الأهمية الهجومية والتهديفية, وسجل لقب وصيف الهداف بعد ماجد عبد الله في عام 1401هـ من بين كل لاعبي فرق الدوري الممتاز.
ويذكر لدرويش سعيد بأنه اللاعب الوحيد الذي أجبر أحد المدربين على تغيير ظهيرين من مركز واحد, حيث قام مدرب الهلال في المباراة الختامية على بطولة الدوري الممتاز موسم 1400هـ والتي انتهت بفوز النصر 2 / 0 بتغيير ظهيرين من نفس المركز للحد من خطورة هذا اللاعب المهاري.
لم يعمر درويش سعيد طويلاً في الملاعب حيث يعتبر بدايات موسم 1404هـ هو آخر تواجد له بعد سبع سنوات قضاها كمهاجم خطير.
مسيرته الدولية
انضم درويش سعيد لمنتخب الناشئين عام 1397هـ وخاض مع زملائه بطولة دورة تبريز في إيران وحقق لقب وصيف الهداف بعد ماجد عبد الله محققاً (5 ) أهداف كرقم جيد خلال خمس مباريات فقط. كما انضم للمنتخب الأول في عام 1400هـ وبقي حتى عام 1403هـ.
سجل درويش سعيد خلال مدة وجوده في الملاعب (46 ) هدفاً للنصر في المباريات الرسمية و (11 ) هدفاً في المباريات الودية ليصبح مجموع أهداف مع النصر (57 ) هدفاً.
كما سجل (7 ) أهداف مع منتخب الناشئين و (3 ) أهداف مع منتخب الشباب و(4 ) أهداف للمنتخب الأول وخاصة في المباريات الودية التي كان خلالها أساسياً ولكن قصر قامته يبدو حال بينه وبين اللعب كمهاجم أساسي للمنتخب ليكون مجموع أهدافه (71 ) هدفاً خلال سبع سنوات قضى نصفها احتياطياً.
وإذا كانت جماهير النصر تغنت ببعض الثنائيات الشهيرة كأحمد الدنيني ومحمد سعد أو كخالد التركي وسعد الجوهر أو كماجد ومحيسن أو ماجد والهريفي.. فقد تغنت طويلاً بماجد ودرويش كان خلالها النصر هو المسيطر على كل شيء في زمن كان يطلق عليه الزمن الجميل.
اسهاماته مع النصر
الفوز ببطولة الدوري السعودي مرتين أعوام 80 و81م.
الفوز ببطولة كأس الملك مرة عام 81م.
أشخاص على قيد الحياة
لاعبو منتخب السعودية لكرة القدم
لاعبو نادي النصر (السعودية)
Zhawar

Zhawar is an area within the Khost Province of Afghanistan.
Zhawar Kili
Jalaluddin Haqqani was known by Afghani mujahideen as master of the Zhawar Kili cave complex.
Mir Bahmanyar writes of the caves during 1986. He states there were caves carved into the rock face on the side facing Pakistan. The caves were ten metres long at the maximum, four metres wide and three metres tall. The cave sides had walls of brick. Altogether there were forty-one caves. The caves had doors of iron painted over with bright colours. All the caves were fitted with electrical power.
Zhawar Kili is suspected to have been an area where al Qaeda fighters regrouped after the bombardment of Tora Bora and is located at 33.148792 N, 69.912658 E.
The Zhawar Kili al Badr training camp was based here during 2002.
A statement published January 2002, showing the report of the deputy director of operations for the Joint Chiefs of Staff at the time, stated the site was a very large complex (approximately 4.8 by 4.8 kilometres square roughly). Rear Adm. J.D. Stufflebeem stated of the Zhawar Kili al Badr training camp, that it contained at least sixty buildings and caves of a number greater than fifty.
January 2002 saw the insertion of a supported Navy Seals team, who were positioned to perform reconnaissance. Upon discovering a complex of approximately seventy caves converted to facilities for ordnance, they instead proceeded to perform the destruction of this. At the location the men also found classrooms, rooms for cooking, quarters for sleep, and offices, which were constructed using bricks, concrete and steel beams.
Bombing
The location is the site of a suspected Taliban or al Qaeda base that was bombed in 1998 and 2001.
American cruise missiles bombed a suspected al Qaeda site in Zhawar Kili in 1998 in retaliation for the bombing of the American Embassies in Kenya and Tanzania in 1998.
The United States Air Force performed bombings during 2001. A bombing during November 2001, was indirectly caused by Richard A. Beck, a geologist at the University of Cincinnati who informed the Department of Defense he could identify the rocks showing within video footage of Osama bin Laden released during October 2001, from a field trip he had made to Khowst. Ascertainment of the location was facilitated by the utilization of GIS technology and remote sensing.
During 2002, a period of bombing began, apparently, during the 3rd of January, and included a period from the 6th to the 14th of January 2002. The United States (of America) Department of Defense released a video of the bombardment of Zhawar Kili during March 2002.
Gallery
Location from above
See also
Qanat
Tora Bora
Notes
References
External links
D.B. Edwards (1984) - text Ethnographic Fieldwork: An Anthropological Reader published by John Wiley & Sons, 24 Jan 2012
Caves of Afghanistan
Caves used for hiding
History of Paktia Province
Landforms of Afghanistan
Vitor Carvalho

Vitor Carvalho Vieira (born 27 May 1997), known as Vitor Carvalho, is a Brazilian professional footballer who plays as a midfielder for Primeira Liga club S.C. Braga.
Career
Vitor Carvalho came through the youth ranks at Coritiba. He made senior debut for the club as a substitute on 11 December 2016, the last game of the 2016 Campeonato Brasileiro Série A against Ponte Preta, when Coritiba had already released a number of first team players.
Career statistics
References
External links
1997 births
Living people
Brazilian men's footballers
Men's association football midfielders
Coritiba Foot Ball Club players
Gil Vicente F.C. players
Campeonato Brasileiro Série B players
Primeira Liga players
Brazilian expatriate men's footballers
Expatriate men's footballers in Portugal
Sportspeople from Tocantins
People from Palmas, Tocantins
List of rivers of Algeria

List of rivers of Algeria
This is a list of rivers in Algeria. This list is arranged west to east by drainage basin, with respective tributaries indented under each larger stream's name.
Atlantic Ocean
Draa River
Mediterranean Sea
Tafna River
Isser River
Hammam River (Habra River) (Macta River)
Sig River
Mebtouh River
Chelif River
Mina River
Djediouia River
Ghiou River (Riou River)
Sly River
Tsighaout River
Fodda River
Rouina River (Zeddine River)
Ebda River
Massine River
Deurdeur River
Akoum River
Nahr Ouassel River
Touil River
Mazafran River
Harrach River
Reghaïa River
Boudouaou River
Isser River
Malah River
Meraldene River
Sebaou River
Soummam River
Amassine River
Bou Sellam River
Sahel River
Kebîr River (Jijel)
Enndja River
Rummel River
Guebli River
Safsâf River
Kebir River (Skikda)
Seybouse River
Cherf River
Kebîr River (El Taref)
Medjerda River
Mellègue River
Ksob River (Chabro)
Meskiana River
Sahara
Sebkhet el Melah
Oued Saoura
Oued Zousfana
Oued Guir
Oued Béchar
Oued Messaoud
Oued Tilia
Chott Ech Chergui
Oued el Korima
Chott el Hodna
Oued Leham
Chott Melrhir
Oued Djedi
Oued Zeribet
Oued el Arab
Oued el Mitta
Oued Ittel
Oued el Kherouf
Sebkhet Safioune
Oued Zegrir
Oued Mya
Sebkha Mekerrhane
Oued Tsaret
Asouf Mellene
Oued Tasendjanet
Ahaggar
Oued Igharghar
Oued Tafassasset
Oued Ti-n-Tarabine
Oued Igharghar
Oued Zazir
Oued Ti-n-Amzi
Oued Tamanrasset
Grand Erg Occidental
Oued Namous
References
Rand McNally, The New International Atlas, 1993.
Defense Mapping Agency, 1981
Defense Mapping Agency, 1981
GEOnet Names Server
Algeria
Rivers
المعتضد يحيى بن الحسن

المعتضد يحيى بن الحسن إمام لأحد أجزاء الدولة الزيدية في اليمن. حكم من 1217 إلى 1239 وذلك جزئيا في ظل التنافس مع آخرين.
توفي الإمام المنصور عبد الله في 1217 في كوكبان بعد سنوات عديدة من النضال غير الحاسم ضد الأيوبيون الذين أسسوا فرع لهم في اليمن في 1173. بعد وفاة المنصور تم تقسيم ولاء الطائفة الزيدية. الناس في المركز التقليدي لنظام الحكم الزيدي صعدة بايعوا نجم الدين يحيى بن الحسن تحت اسم المعتضد يحيى. ومع ذلك في الأجزاء الجنوبية من الأراضي الزيدية تم تعيين ابن الإمام السابق عز الدين محمد تحت اسم الناصر محمد. توفي هذا الأخير من جرح في معركة عام 1226. تم استبدال الحكم الأيوبي في اليمن في عام 1229 من قبل الدولة الرسولية. أول سلاطين الدولة الرسولية نور الدين عمر الأول حاصر عدة أماكن في الشمال مثل صنعاء وتعز وكوكبان. في عام 1231 عقد معاهدة سلام مع الطائفة الزيدية وكانت هناك مواجهات قليلة نسبيا بين الزيديين والرسوليين حتى 1248. توفي المعتضد يحيى في 1239 ودفن في ساقين. أعقب وفاته فترة فاصلة تصل إلى تسع سنوات من دون إمام حتى أعلن المهدي أحمد بن الحسين إمامته.
طالع أيضا
تاريخ اليمن
قائمة أئمة اليمن
مصادر
أئمة اليمن
أئمة زيديون
اليمن في القرن 13
حكام اليمن
سنة الولادة غير معروفة
عرب في القرن 13
وفيات 1239
Tiu (pharaoh)

Tiu (pharaoh)
Tiu, also known as Teyew, was an ancient Egyptian Pharaoh who ruled in the Nile Delta.
Tiu is mentioned in the Palermo Stone inscriptions, along with a small number of kings of Lower Egypt. As there is no other evidence of such a ruler, he may be a mythical king preserved through oral tradition, or may even be completely fictitious.
References
Pharaohs only mentioned in the Palermo Stone
People whose existence is disputed
Grammy Award for Best R&B Performance

Grammy Award for Best R&B Performance
The Grammy Award for Best R&B Performance is an award presented at the Grammy Awards, a ceremony that was established in 1958 and originally called the Gramophone Awards. According to the 54th Grammy Awards description guide it is designed for solo, duo/groups or collaborative (vocal or instrumental) R&B recordings and is limited to singles or tracks only.
The award was originally awarded from 1959 to 1961 as Best Rhythm & Blues Performance and then from 1962 to 1968 as Best Rhythm & Blues Recording before being discontinued. In 2012, the award was brought back combining the previous categories for Best Female R&B Vocal Performance, Best Male R&B Vocal Performance, Best R&B Performance by a Duo or Group with Vocal and Best Urban/Alternative Performance. The restructuring of these categories was a result of the Recording Academy's wish to decrease the list of categories and awards and to eliminate the distinctions between male and female performances, and between solo and duo/groups performances.
The award goes to the artist. The producer, engineer and songwriter can apply for a Winners Certificate.
Recipients
Each year is linked to the article about the Grammy Awards held that year.
Artists with multiple wins
5 wins
Ray Charles
2 wins
Beyoncé
Bruno Mars
Anderson .Paak
Artists with multiple nominations
5 nominations
Ray Charles
4 nominations
Beyoncé
Daniel Caesar
Sam Cooke
Ledisi
3 nominations
H.E.R.
Anderson .Paak
Usher
2 nominations
LaVerne Baker
Tamar Braxton
James Brown
Nat King Cole
Lalah Hathaway
Hiatus Kaiyote
Etta James
Jay-Z
Lucky Daye
Bruno Mars
Miguel
Lou Rawls
Jazmine Sullivan
Joe Tex
See also
Grammy Award for Best Traditional R&B Performance
Grammy Award for Best R&B Song
References
Grammy Awards for rhythm and blues
Awards established in 2012
Bois D'Arc, Missouri

Bois D'Arc, Missouri
Bois D'Arc is an unincorporated community in Greene County, Missouri, United States, approximately 15 miles northwest of Springfield. The community is part of the Springfield, Missouri Metropolitan Statistical Area.
A post office called Bois D'arc has been in operation since 1868. The community was named for an individual osage-orange tree (also known as a bois d'arc) which stood near the original town site.
References
Populated places established in 1881
Unincorporated communities in Greene County, Missouri
Springfield metropolitan area, Missouri
Unincorporated communities in Missouri
1881 establishments in Missouri
آلان بارودوني

آلان بارودوني (مواليد 19 أبريل 1940) هو مبارز بالسيف سويسري، مثّل بلاده في الألعاب الأولمبية الصيفية 1972.
روابط خارجية
مراجع
مبارزون أولمبيون في سويسرا
مبارزون ذكور سويسريون
مبارزون سيف الشيش في الألعاب الأولمبية الصيفية 1972
Michael Stanislaw

Michael Stanislaw (born 5 June 1987) is an Austrian footballer who plays as a midfielder for Egri FC.
References
External links
Guardian Football
1987 births
Living people
People from Leoben
Austrian men's footballers
Austria men's youth international footballers
Austria men's under-21 international footballers
Men's association football midfielders
SC Austria Lustenau players
SC Schwanenstadt players
1. Wiener Neustädter SC (2008) players
Egri FC players
Nemzeti Bajnokság I players
Austrian expatriate men's footballers
Expatriate men's footballers in Hungary
Austrian expatriate sportspeople in Hungary
Footballers from Styria
Qalat-i Dinka

Qalat-i Dinka is an archaeological excavation site in Iraq, which is located on the Little Zab, in the Sulaymaniyah Governorate, in the very north-east of the country. Excavations have been taking place there since 2016 after a fragment of a cuneiform tablet came to light by chance. The excavation results are available annually in preliminary reports and excavation publications.
Qalat-i Dink is mainly the remains of a Neo-Assyrian city that took up about 60 hectares. The ancient name of the city is unknown. Modern robbery excavations have often disrupted the archaeological layers, which makes exploring the ruins more difficult. Earlier remains dating back to the Copper Age have also been found in various places in the city. A furnace from this time was completely uncovered.
The size of the city and its structure are relatively well known due to magnometric surveys. The ruins are spread over a hill, which the excavators call the citadel, and the city proper to the north, known as the lower city. Small areas have been excavated in various places in the city. The residential buildings are made of rubble, but so far no house has been completely exposed. One building that may have belonged to a wealthy citizen of the city had a large hall, the floor of which is paved with bricks. Three phases could be distinguished. Remains of a wall were found below the house, suggesting older buildings. This was followed by the phase in which the house was built, and there are later graves that are spread over the excavation area. The graves mainly contained jewelry as gifts, but there was also a well-preserved bronze bowl.
The finds in the city proper include mainly ceramics. But there were also cylinder seals that stylistically dated to the first half of the first millennium BC. To date. In addition, numerous iron arrowheads and fever came to light.
Graves from the Sassanid period have also been found. They usually only contained a few jewelry gifts. These were mainly stone and glass beads.
Gallery
References
Archaeological sites in Iraq
Sulaymaniyah Governorate
ألفرد بولاك

ألفرد بولاك هو سياسي أسترالي، ولد في 1878، وتوفي في 30 يناير 1931. انتخب .
مراجع
أشخاص من جرافتون
أعضاء مجلس نيوساوث ويلز التشريعي
كتاب عدل أستراليون
مواليد 1878
وفيات 1931
أعضاء الحزب الوطني الأسترالي في برلمان نيوساوث ويلز
جوليا آدامز

جوليا آدامز هي عالمة اجتماع أمريكية، ولدت في 11 يوليو 1957.
مراجع
وصلات خارجية
أعضاء هيئة تدريس جامعة ييل
أمريكيات في القرن 21
خريجو جامعة ويسكونسن ماديسون
خريجو كلية ريد
عالمات اجتماع أمريكيات
علماء اجتماع أمريكيون
مواليد 1957
Hazrat-e Soltan

Hazrat-e Soltan (also Romanized as Ḩaẕrat-e Solţān, Ḩaẕrat-esolţān, and Ḩaẕrat Solţān) is a village in Shahrestaneh Rural District, Now Khandan District, Dargaz County, Razavi Khorasan Province, Iran. At the 2006 census, its population was 96, in 27 families.
References
Populated places in Dargaz County
صورة الطور

صورة الطور هي تمثيل هندسي لمسارات النظام الديناميكي في مستوى الطور. يتم تمثيل كل مجموعة من الشروط الأولية بمنحنى أو نقطة مختلفة.
تعد صور الطور أداة لا تقدر بثمن في دراسة الأنظمة الديناميكية. وهي تتكون من رسم المسارات المحتملة للمتحولات في فضاء الحالة. تكشف صورة الطور عن معلومات مثل ما إذا كان الجاذب أو الطارد أو دورة الحد موجودًا لقيمة المعلمة المختارة. يمثل الجاذب نقطة مستقرة تسمى أيضًا «بالوعة». ويعتبر الطارد نقطة غير مستقرة، والتي تُعرف أيضًا باسم «المصدر». إن مفهوم التكافؤ الطوبولوجي مهم في تصنيف سلوك الأنظمة من خلال تحديد متى تمثل صورتين مختلفتين للطور نفس السلوك الديناميكي النوعي.
يصور رسم بياني طوري لنظام ديناميكي مسارات النظام (الأسهم) والحالات الثابتة المستقرة (النقاط) والحالات الثابتة غير المستقرة (الدوائر) في فضاء الحالة. إن المحاور في صورة الطور هي متغيرات الحالة.
أمثلة
بندول بسيط، انظر الصورة (يمين).
مذبذب توافقي بسيط حيث تتكون صورة الطور من علامات الحذف المتمركزة في الأصل، وهي نقطة ثابتة.
مذبذب فان دير بول انظر الصورة (أسفل اليمين).
مستوى المعلمة (المستوى ج) ومجموعة ماندلبروت
صور الطور لتصور سلوك نظم المعادلات التفاضلية العادية
تمثل الصورة الطورية السلوك الاتجاهي لنظام ODEs. يمكن أن تشير صورة الطور إلى استقرار النظام كما يلي.
انظر أيضًا
مساحة المرحلة
مستوى الطور
المراجع
روابط خارجية
صور المرحلة الخطية ، MIT Mathlet.
أنظمة حركية
رسوم بيانية