Skip to main content

Critical Transitions in Complex Systems

Objective

Complex systems research has been on the forefront of scientific priorities of many national research councils and the EU
for more than a decade. Many very interesting phenomena have been identified and explored, but the development of the
underpinning mathematical theory has been lagging behind. The proposed training network builds on an emerging
development in applied mathematics to provide proper mathematical theory for the existence of early-warning signals for
sudden changes in dynamical behaviour, so-called critical transitions, which have been reported by applied scientists in
various contexts.
Practical implications for the existence of such early-warning signals are far reaching, since these would enable the
development of better control strategies to avoid or diminish the effect of catastrophes. Topical examples include epileptic
seizures, stock market collapses, earthquakes, and climate.
Attending to the mathematical underpinning for critical transitions in complex systems, it is apparent that the relevant
mathematical discipline of bifurcation theory, that has been developed to great acclaim and use for primarily low-dimensional
deterministic autonomous (i.e. intrinsically time-independent) dynamical systems, and (in the context of phase transitions)
for material science, does not apply without nontrivial modification to most of the complex systems contexts.
The training network is a response to the needs of applied scientists (including many in the private sector) for a proper
mathematical underpinning of early-warning signals. After their training, the trained researchers will be at the very forefront
of this rapidly developing field, with many practical skills and crucial theoretical insights into the possibilities (and impossibilities) of early-warning signals for critical transitions in a wide range of contexts.

Field of science

  • /social sciences/economics and business/business and management/commerce
  • /natural sciences/mathematics
  • /natural sciences/mathematics/applied mathematics/dynamical systems

Call for proposal

H2020-MSCA-ITN-2014
See other projects for this call

Funding Scheme

MSCA-ITN-ETN - European Training Networks

Coordinator

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Address
South Kensington Campus Exhibition Road
SW7 2AZ London
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 009 646,89

Participants (9)

THE UNIVERSITY OF EXETER
United Kingdom
EU contribution
€ 546 575,76
Address
The Queen's Drive Northcote House
EX4 4QJ Exeter
Activity type
Higher or Secondary Education Establishments
WAGENINGEN UNIVERSITY
Netherlands
EU contribution
€ 510 748,56
Address
Droevendaalsesteeg 4
6708 PB Wageningen
Activity type
Higher or Secondary Education Establishments
TECHNISCHE UNIVERSITAET DRESDEN
Germany
EU contribution
€ 249 216,48
Address
Helmholtzstrasse 10
01069 Dresden
Activity type
Higher or Secondary Education Establishments
KOBENHAVNS UNIVERSITET
Denmark
EU contribution
€ 580 163,76
Address
Norregade 10
1165 Kobenhavn
Activity type
Higher or Secondary Education Establishments
UNIVERSIDAD DE VALLADOLID
Spain
EU contribution
€ 247 872,96
Address
Plaza Santa Cruz 8 Palacio De Santa Cruz
47002 Valladolid
Activity type
Higher or Secondary Education Establishments
UNIVERSITEIT UTRECHT
Netherlands
EU contribution
€ 255 374,28
Address
Heidelberglaan 8
3584 CS Utrecht
Activity type
Higher or Secondary Education Establishments
FUNDACION CIDAUT

Participation ended

Spain
EU contribution
€ 0
Address
Plaza Vicente Aleixandre Campos 2 Pq Tecnologico De Boecillo 209
47151 Valladolid
Activity type
Research Organisations
FRIEDRICH-SCHILLER-UNIVERSITAT JENA
Germany
EU contribution
€ 249 216,48
Address
Furstengraben 1
07743 Jena
Activity type
Higher or Secondary Education Establishments
UNIVERSITY COLLEGE CORK - NATIONAL UNIVERSITY OF IRELAND, CORK
Ireland
EU contribution
€ 247 872,93
Address
Western Road
T12 YN60 Cork
Activity type
Higher or Secondary Education Establishments