Experiments and modelling of rate-dependent transition delay in a stochastic subcritical bifurcation

Rising Variability, Not Slowing Down, as a Leading Indicator of a Stochastically Driven Abrupt Transition in a Dryland Ecosystem

(2018) Ning Chen et al.   AMERICAN NATURALIST

Predicting tipping points in mutualistic networks through dimension reduction

(2018) Junjie Jiang et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Can Lyapunov exponent predict critical transitions in biological systems?

(2017) Fahimeh Nazarimehr et al.   NONLINEAR DYNAMICS

Parameter shifts for nonautonomous systems in low dimension: bifurcation- and rate-induced tipping

(2017) Peter Ashwin et al.   NONLINEARITY

A method to identify thermoacoustic growth rates in combustion chambers from dynamic pressure time series

(2017) N. Noiray et al.   PROCEEDINGS OF THE COMBUSTION INSTITUTE

Prediction and control of combustion instabilities in real engines

(2017) T. Poinsot   PROCEEDINGS OF THE COMBUSTION INSTITUTE

Uncertainty transformation via Hopf bifurcation in fast–slow systems

(2017) Christian Kuehn   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Rapid global ocean-atmosphere response to Southern Ocean freshening during the last glacial

(2017) Chris S. M. Turney et al.   Nature Communications

Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system

(2017) J. Tony et al.   Scientific Reports

Early-warning indicators for rate-induced tipping

(2016) Paul Ritchie et al.   CHAOS

An experimental study of slow passage through Hopf and pitchfork bifurcations in a parametrically driven nonlinear oscillator

(2016) D. Premraj et al.   Communications in Nonlinear Science and Numerical Simulation

Linear Growth Rate Estimation From Dynamics and Statistics of Acoustic Signal Envelope in Turbulent Combustors

(2016) Nicolas Noiray   JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME

Quantifying acoustic damping using flame chemiluminescence

(2016) E. Boujo et al.   JOURNAL OF FLUID MECHANICS

Waiting time to infectious disease emergence

(2016) Christopher J. Dibble et al.   Journal of the Royal Society Interface

Ecosystems off track: rate-induced critical transitions in ecological models

(2016) Koen Siteur et al.   OIKOS

Rate of forcing and the forecastability of critical transitions

(2016) Christopher F. Clements et al.   Ecology and Evolution

Delay-induced stochastic bifurcations in a bistable system under white noise

(2015) Zhongkui Sun et al.   CHAOS

Patterned vegetation, tipping points, and the rate of climate change

(2015) YUXIN CHEN et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

Forecasting critical transitions using data-driven nonstationary dynamical modeling

(2015) Frank Kwasniok   PHYSICAL REVIEW E

Critical Slowing Down Governs the Transition to Neuron Spiking

(2015) Christian Meisel et al.   PLoS Computational Biology

Detection of early warning signals in paleoclimate data using a genetic time series segmentation algorithm

(2014) Athanasia Nikolaou et al.   CLIMATE DYNAMICS

Response of an artificially blown clarinet to different blowing pressure profiles

(2014) Baptiste Bergeot et al.   JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

Resilience indicators: prospects and limitations for early warnings of regime shifts

(2014) V. Dakos et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Early warning of climate tipping points from critical slowing down: comparing methods to improve robustness

(2012) T. M. Lenton et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system

(2012) P. Ashwin et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Escape statistics for parameter sweeps through bifurcations

(2012) Nicholas J. Miller et al.   PHYSICAL REVIEW E

Anticipating Critical Transitions

(2012) M. Scheffer et al.   SCIENCE

A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics

(2011) Christian Kuehn   PHYSICA D-NONLINEAR PHENOMENA

Tipping points: Early warning and wishful thinking

(2010) Peter D. Ditlevsen et al.   GEOPHYSICAL RESEARCH LETTERS

First passage time distribution in stochastic processes with moving and static absorbing boundaries with application to biological rupture experiments

(2010) Zhonghan Hu et al.   JOURNAL OF CHEMICAL PHYSICS

Early warning signals of extinction in deteriorating environments

(2010) John M. Drake et al.   NATURE

Excitability in ramped systems: the compost-bomb instability

(2010) S. Wieczorek et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Early-warning signals for critical transitions

(2009) Marten Scheffer et al.   NATURE

The macroscopic delamination of thin films from elastic substrates

(2009) D. Vella et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Ecology for bankers

(2008) Robert M. May et al.   NATURE

Slow acceleration and deacceleration through a Hopf bifurcation: Power ramps, target nucleation, and elliptic bursting

(2008) Steven M. Baer et al.   PHYSICAL REVIEW E

Slowing down as an early warning signal for abrupt climate change

(2008) V. Dakos et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Tipping elements in the Earth's climate system

(2008) T. M. Lenton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA