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  Extending transition path theory: Periodically driven and finite-time dynamics

Helfmann, L., Ribera Borrell, E., Schütte, C., Koltai, P. (2020 online): Extending transition path theory: Periodically driven and finite-time dynamics. - Journal of Nonlinear Science.
https://doi.org/10.1007/s00332-020-09652-7

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Helfmann2020_Article_ExtendingTransitionPathTheoryP.pdf (Verlagsversion), 3MB
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 Urheber:
Helfmann, Luzie1, Autor              
Ribera Borrell, Enric2, Autor
Schütte, Christof2, Autor
Koltai, Péter2, Autor
Affiliations:
1Potsdam Institute for Climate Impact Research, Potsdam, ou_persistent13              
2External Organizations, ou_persistent22              

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Schlagwörter: Transition path theory · Markov chains · Time-inhomogeneous process · Periodic driving · Finite-time dynamics
 Zusammenfassung: Given two distinct subsets A, B in the state space of some dynamical system, transition path theory (TPT) was successfully used to describe the statistical behavior of transitions from A to B in the ergodic limit of the stationary system.We derive generalizations of TPT that remove the requirements of stationarity and of the ergodic limit and provide this powerful tool for the analysis of other dynamical scenarios: periodically forced dynamics and time-dependent finite-time systems. This is partially motivated by studying applications such as climate, ocean, and social dynamics. On simple model examples, we show how the new tools are able to deliver quantitative understanding about the statistical behavior of such systems.We also point out explicit cases where the more general dynamical regimes show different behaviors to their stationary counterparts, linking these tools directly to bifurcations in non-deterministic systems.

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 Datum: 2020-09-012020-09-10
 Publikationsstatus: Online veröffentlicht
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 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: DOI: 10.1007/s00332-020-09652-7
PIKDOMAIN: RD4 - Complexity Science
MDB-ID: pending
PIKDOMAIN: FutureLab - Game Theory & Networks of Interacting Agents
Research topic keyword: Tipping Elements
Research topic keyword: Nonlinear Dynamics
Organisational keyword: RD4 - Complexity Science
Organisational keyword: FutureLab - Game Theory & Networks of Interacting Agents
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Titel: Journal of Nonlinear Science
Genre der Quelle: Zeitschrift, SCI, Scopus
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Anderer: 1432-1467
ISSN: 0938-8974
CoNE: https://publications.pik-potsdam.de/cone/journals/resource/journal-nonlinear-science