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Random Bifurcation Theory

Project description

A study on bifurcations of random dynamical systems

Bifurcation theory studies the changes in the qualitative or topological structure of a given family of curves and the solutions of a family of differential equations. It is mostly applied to the study of dynamical systems. Funded by the Marie Skłodowska-Curie Actions programme, the RBT project aims to expand bifurcation theory to the study of random dynamical systems. The proposed research will address open questions in local bifurcation theory. Moreover, it will help develop a fundamental theory for global bifurcations of random dynamical systems.

Objective

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.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

(opens in new window) H2020-MSCA-IF-2020

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Coordinator

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Net EU contribution
€ 224 933,76
Address
SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
SW7 2AZ London
United Kingdom
Region
London Inner London — West Westminster
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 224 933,76