LDNAD

Low-dimensional and Non-autonomous Dynamics

Coordinatore	IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE    more  Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD city: LONDON postcode: SW7 2AZ contact info Titolo: Ms. Nome: Brooke Cognome: Alasya Email: send email Telefono: +44 207 594 1181 Fax: +44 207 594 1418
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	221˙606 €
EC contributo	221˙606 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2012-IEF
Funding Scheme	MC-IEF
Anno di inizio	2013
Periodo (anno-mese-giorno)	2013-03-01   -   2016-10-05

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE  Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD city: LONDON postcode: SW7 2AZ contact info Titolo: Ms. Nome: Brooke Cognome: Alasya Email: send email Telefono: +44 207 594 1181 Fax: +44 207 594 1418	UK (LONDON)	coordinator	221˙606.40

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 Obiettivo del progetto (Objective)

'This research project aims at making significant contributions to the bifurcation theory for non-autonomous (i.e., forced or random) dynamical systems.

Dynamical systems is a very active research field, with a plethora of applications in other areas of mathematics as well as the applied sciences. Many dynamical systems arising from real-world applications are forced (non-autonomous), that is, driven by some external system or noise. In recent decades, there has been steadily growing interest in the theory of non-autonomous dynamical systems, which was mainly motivated by applications in physics, biology, engineering, chemistry, economics, ecology and other disciplines.

Mathematical modelling is used extensively in engineering, and the natural and social sciences and typically gives rise to complicated dynamical systems depending on one or several parameters. Fluctuations in these physical parameters can lead to qualitative changes in the behaviour of the system (when a parameter reaches a critical value), referred to as a bifurcation or critical transition, where a sudden change in the dynamics is observed.

Bifurcations and critical transitions occur in a wide variety of applications including climate change, medicine, and economics, and the understanding of the dynamical behaviour of systems near bifurcation points plays an important role to control and attenuate the expected consequences.

The main aim of this research project, is to develop insights and tools in order to complement the study of non-autonomous bifurcation theory. The proposal contains the following research directions:

1. The development of a non-autonomous bifurcation theory for deterministic dynamical systems. 2. The development of a general qualitative theory for forced monotone interval maps with transitive forcing. 3. The development of a bifurcation theory for random dynamical systems. 4. The description and rigorous analysis of the stochastic Hopf bifurcation.'