RBT · Random Bifurcation Theory
„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“
- Период
- 2022-04-04 → 2024-12-02
- Финансиране от ЕС
- 224 934 €
- Участници
- 1
- Схема
- MSCA-IF
Линиите свързват координатора с партньорите.
Накратко на български
Случайните динамични системи изследват как малки промени в условията водят до рязка смяна на поведението, например при колебания в икономиката. Разбирането на тези процеси помага за по-точното описание на сложни явления в приложните науки.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Random Bifurcation Theory
This project aims at developing the bifurcation theory of random dynamical systems in new directions beyond the traditional setting that are highly relevant in applied sciences. Despite huge developments in stochastic differential equations and their applications in both science and economics, bifurcations in this context are only poorly understood, although qualitative changes in the behaviour of random dynamical systems are omnipresent due to nonlinearities. Research on bifurcations in random systems has flourished in the last decade, with main contributions on local bifurcations coming from the applicant and the host, as explained below. The proposed research builds upon these foundations to address not only open questions in local bifurcation theory, but also develop a fundamental theory for global bifurcations of random dynamical systems.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
This project aims at developing the bifurcation theory of random dynamical systems in new directions beyond the traditional setting that are highly relevant in applied sciences. Despite huge developments in stochastic differential equations and their applications in both science and economics, bifurcations in this context are only poorly understood, although qualitative changes in the behaviour of random dynamical systems are omnipresent due to nonlinearities. Research on bifurcations in random systems has flourished in the last decade, with main contributions on local bifurcations coming from the applicant and the host, as explained below. The proposed research builds upon these foundations to address not only open questions in local bifurcation theory, but also develop a fundamental theory for global bifurcations of random dynamical systems.
Оригинален текст от CORDIS (на английски).
Участници
- IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE · LondonКоординаторОбединеното кралство
Връзки
Данни: CORDIS, © Европейски съюз