RBT · Random Bifurcation Theory
Horizon 2020 — Marie Skłodowska-Curie Actions
- Duration
- 2022-04-04 → 2024-12-02
- EU contribution
- €224,934
- Participants
- 1
- Scheme
- MSCA-IF
Lines connect the coordinator with its partners.
Results in brief
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.
Data: CORDIS, © European Union
Project 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.
Original text from CORDIS.
Participants
- IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE · LondonCoordinatorUnited Kingdom
Links
Data: CORDIS, © European Union