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CRITICS

Critical Transitions in Complex Systems

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EC-Contrib. €

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Project "CRITICS" data sheet

The following table provides information about the project.

Coordinator
IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE 

Organization address
address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
city: LONDON
postcode: SW7 2AZ
website: http://www.imperial.ac.uk/

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website http://www.criticsitn.eu
 Total cost 3˙896˙688 €
 EC max contribution 3˙896˙688 € (100%)
 Programme 1. H2020-EU.1.3.1. (Fostering new skills by means of excellent initial training of researchers)
 Code Call H2020-MSCA-ITN-2014
 Funding Scheme MSCA-ITN-ETN
 Starting year 2015
 Duration (year-month-day) from 2015-04-01   to  2019-03-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE UK (LONDON) coordinator 1˙009˙646.00
2    KOBENHAVNS UNIVERSITET DK (KOBENHAVN) participant 580˙163.00
3    THE UNIVERSITY OF EXETER UK (EXETER) participant 546˙575.00
4    WAGENINGEN UNIVERSITY NL (WAGENINGEN) participant 510˙748.00
5    UNIVERSITEIT UTRECHT NL (UTRECHT) participant 255˙374.00
6    FRIEDRICH-SCHILLER-UNIVERSITAT JENA DE (JENA) participant 249˙216.00
7    TECHNISCHE UNIVERSITAET DRESDEN DE (DRESDEN) participant 249˙216.00
8    UNIVERSIDAD DE VALLADOLID ES (VALLADOLID) participant 247˙872.00
9    UNIVERSITY COLLEGE CORK - NATIONAL UNIVERSITY OF IRELAND, CORK IE (Cork) participant 247˙872.00
10    FUNDACION CIDAUT ES (VALLADOLID) participant 0.00

Map

 Project 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.

 Deliverables

List of deliverables.
Numerical methods Documents, reports 2020-01-20 16:54:47
Bifurcations of networks Documents, reports 2020-01-20 16:54:47
Early-warning sig-nals in complex systems Documents, reports 2020-01-20 16:54:47
Multiscale systems Documents, reports 2020-01-20 16:54:47
Graduate schools Other 2020-01-20 16:54:46
Recruitment Other 2020-01-20 16:54:46
Supervisory Board Other 2020-01-20 16:54:46
Progress report Documents, reports 2020-01-20 16:54:46
draft 1st periodic report Documents, reports 2020-01-20 16:54:46

Take a look to the deliverables list in detail:  detailed list of CRITICS deliverables.

 Publications

year authors and title journal last update
List of publications.
2019 Courtney Quinn, Jan Sieber, Anna S. von der Heydt
Effects of Periodic Forcing on a Paleoclimate Delay Model
published pages: 1060-1077, ISSN: 1536-0040, DOI: 10.1137/18m1203079
SIAM Journal on Applied Dynamical Systems 18/2 2020-01-20
2018 Damian Smug, Peter Ashwin, Didier Sornette
Predicting financial market crashes using ghost singularities
published pages: e0195265, ISSN: 1932-6203, DOI: 10.1371/journal.pone.0195265
PLOS ONE 13/3 2020-01-20
2018 Johannes Lohmann, Peter D. Ditlevsen
A consistent statistical model selection for abrupt glacial climate changes
published pages: , ISSN: 0930-7575, DOI: 10.1007/s00382-018-4519-2
Climate Dynamics 2020-01-20
2017 Iacopo P. Longo, Sylvia Novo, Rafael Obaya
Topologies of L l o c p type for Carathéodory functions with applications in non-autonomous differential equations
published pages: 7187-7220, ISSN: 0022-0396, DOI: 10.1016/j.jde.2017.08.006
Journal of Differential Equations 263/11 2020-01-20
2019 Iacopo P. Longo, Sylvia Novo, Rafael Obaya
Topologies of continuity for Carathéodory delay differential equations with applications in non-autonomous dynamics
published pages: 5491-5520, ISSN: 1553-5231, DOI: 10.3934/dcds.2019224
Discrete & Continuous Dynamical Systems - A 39/9 2020-01-20
2016 Anna S. von der Heydt, Henk A. Dijkstra, Roderik S. W. van de Wal, Rodrigo Caballero, Michel Crucifix, Gavin L. Foster, Matthew Huber, Peter Köhler, Eelco Rohling, Paul J. Valdes, Peter Ashwin, Sebastian Bathiany, Tijn Berends, Loes G. J. van Bree, Peter Ditlevsen, Michael Ghil, Alan M. Haywood, Joel Katzav, Gerrit Lohmann, Johannes Lohmann, Valerio Lucarini, Alice Marzocchi, Heiko Pälike, Itzel Ruvalcaba Baroni, Dirk Simon, Appy Sluijs, Lennert B. Stap, Alexis Tantet, Jan Viebahn, Martin Ziegler
Lessons on Climate Sensitivity From Past Climate Changes
published pages: 148-158, ISSN: 2198-6061, DOI: 10.1007/s40641-016-0049-3
Current Climate Change Reports 2/4 2020-01-20
2018 Damian Smug, Didier Sornette, Peter Ashwin
A Generalized 2D-Dynamical Mean-Field Ising Model with a Rich Set of Bifurcations (Inspired and Applied to Financial Crises)
published pages: 1830010, ISSN: 0218-1274, DOI: 10.1142/S0218127418300100
International Journal of Bifurcation and Chaos 28/04 2020-01-20
2019 Swinda K. J. Falkena, Courtney Quinn, Jan Sieber, Jason Frank, Henk A. Dijkstra
Derivation of delay equation climate models using the Mori-Zwanzig formalism
published pages: 20190075, ISSN: 1364-5021, DOI: 10.1098/rspa.2019.0075
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475/2227 2020-01-20
2018 Daniele Castellana, Henk A Dijkstra, Fred W Wubs
A statistical significance test for sea-level variability
published pages: , ISSN: 2059-6987, DOI: 10.1093/climsys/dzy008
Dynamics and Statistics of the Climate System 3/1 2020-01-20
2018 Courtney Quinn, Jan Sieber, Anna S von der Heydt, Timothy M Lenton
The Mid-Pleistocene Transition induced by delayed feedback and bistability
published pages: pages 1–17, ISSN: 2059-6987, DOI: 10.1093/climsys/dzy005
Dynamics and Statistics of the Climate System Volume 3, Issue 1, 2020-01-20
2018 Ke Wu, Spencer Wheatley, Didier Sornette
Classification of cryptocurrency coins and tokens by the dynamics of their market capitalizations
published pages: 180381, ISSN: 2054-5703, DOI: 10.1098/rsos.180381
Royal Society Open Science 5/9 2020-01-20
2018 Iacopo P. Longo, Sylvia Novo, Rafael Obaya
Weak Topologies for Carathéodory Differential Equations: Continuous Dependence, Exponential Dichotomy and Attractors
published pages: , ISSN: 1040-7294, DOI: 10.1007/s10884-018-9710-y
Journal of Dynamics and Differential Equations 2020-01-20
2019 M. Usman Mirza, Andries Richter, Egbert H. van Nes, Marten Scheffer
Technology driven inequality leads to poverty and resource depletion
published pages: 215-226, ISSN: 0921-8009, DOI: 10.1016/j.ecolecon.2019.02.015
Ecological Economics 160 2020-01-20
2018 Ke Wu, Spencer Wheatley, Didier Sornette
Classification of cryptocurrency coins and tokens by the dynamics of their market capitalizations
published pages: 180381, ISSN: 2054-5703, DOI: 10.1098/rsos.180381
Royal Society Open Science 5/9 2020-01-20

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