Singularidades de ecuaciones diferenciales y foliaciones. Singularites d'equations differentielles et feuilletages
4РП — Обучение и мобилност на изследователи
- Период
- 1996-09-01 → 2001-08-31
- Финансиране от ЕС
- —
- Участници
- 7
- Схема
- —
Линиите свързват координатора с партньорите.
Накратко на български
Сингулярностите при диференциалните уравнения и фолиациите изследват точки, в които математическите модели се променят рязко или стават неопределени. Анализът им помага да се разберат сложните динамични системи чрез инструменти като алгебрата и геометрията.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Цел на проекта
The proposal is the natural continuation of an existing network in the HCM program. The general scientific objectif are singularities of foliations, researchers. The teams in the network produce each year around ten Ph.D. dynamical systems or more general differential equations over the real or each of them gets easily a permanent position. The total amount of the budget directly devoted to the training of young people is around 1/3 of complex numbers. There are three main lines of work: reduction of singularities, differential Galois theory and geometry of the the total requested financement. The external (inside Europe) relations, as well as the amount of young researchers involved in the network, singularities. guarantees the existence of young researchers to be trained. The main tools we use are deformations, singular perturbations, group actions as group of diffeomorphisms, local algebra, cohomological methods, differential algebra and asymptotic developments. The proposed network is composed by seven teams with a big amount of previous scientifical connections and work in common on the proposed objectives. Many of the basic results in that directions come from join works of team's members.
Оригинален текст от CORDIS (на английски).
Участници
- UNIVERSIDAD DE VALLADOLID · VALLADOLIDКоординаторИспания
- AUTONOMOUS UNIVERSITY OF BARCELONA · BELLATERRAИспания
- LIMBURGS UNIVERSITAIR CENTRUM · DIEPENBEEKБелгия
- UNIVERSITE PAUL SABATIER DE TOULOUSE III · TOULOUSEФранция
- UNIVERSITÉ DE BOURGOGNE - DIJON · DIJONФранция
- UNIVERSITÉ DE RENNES 1 · RENNESФранция
- Universidade de Lisboa · LisboaПортугалия
Връзки
Данни: CORDIS, © Европейски съюз