Predicting noise-induced critical transitions in bistable systems

Early warning signals of recovery in complex systems

(2019) Christopher F. Clements et al.   Nature Communications

Predicting tipping points of dynamical systems during a period-doubling route to chaos

(2018) Fahimeh Nazarimehr et al.   CHAOS

Investigations on precursor measures for aeroelastic flutter

(2018) J. Venkatramani et al.   JOURNAL OF SOUND AND VIBRATION

Detecting early-warning signals in periodically forced systems with noise

(2018) Jinzhong Ma et al.   CHAOS

Investigation of dynamical properties in a chaotic flow with one unstable equilibrium: Circuit design and entropy analysis

(2018) Fahimeh Nazarimehr et al.   CHAOS SOLITONS & FRACTALS

The Estimates of the Mean First Exit Time of a Bistable System Excited by Poisson White Noise

(2017) Yong Xu et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

Can Lyapunov exponent predict critical transitions in biological systems?

(2017) Fahimeh Nazarimehr et al.   NONLINEAR DYNAMICS

Stochastic basins of attraction for metastable states

(2016) Larissa Serdukova et al.   CHAOS

Lévy noise induced stochastic resonance in an FHN model

(2016) ZhanQing Wang et al.   Science China-Technological Sciences

Transitions in a genetic transcriptional regulatory system under Lévy motion

(2016) Yayun Zheng et al.   Scientific Reports

Early warning signals for critical transitions in a thermoacoustic system

(2016) E. A. Gopalakrishnan et al.   Scientific Reports

Statistical scaling, Shannon entropy, and Generalized space-time q-entropy of rainfall fields in tropical South America

(2015) Germán Poveda et al.   CHAOS

Computation of entropy and Lyapunov exponent by a shift transform

(2015) Chihiro Matsuoka et al.   CHAOS

Predictability of critical transitions

(2015) Xiaozhu Zhang et al.   PHYSICAL REVIEW E

Identifying early-warning signals of critical transitions with strong noise by dynamical network markers

(2015) Rui Liu et al.   Scientific Reports

Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises

(2014) T. Gao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Lévy noise-induced stochastic resonance in a bistable system

(2013) Yong Xu et al.   EUROPEAN PHYSICAL JOURNAL B

How basin stability complements the linear-stability paradigm

(2013) Peter J. Menck et al.   Nature Physics

Flickering gives early warning signals of a critical transition to a eutrophic lake state

(2012) Rong Wang et al.   NATURE

Approaching a state shift in Earth’s biosphere

(2012) Anthony D. Barnosky et al.   NATURE

Methods for Detecting Early Warnings of Critical Transitions in Time Series Illustrated Using Simulated Ecological Data

(2012) Vasilis Dakos et al.   PLoS One

Has the Earth’s sixth mass extinction already arrived?

(2011) Anthony D. Barnosky et al.   NATURE

Tipping points: Early warning and wishful thinking

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

Early-warning signals for critical transitions

(2009) Marten Scheffer et al.   NATURE

Turning back from the brink: Detecting an impending regime shift in time to avert it

(2009) Reinette Biggs 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

Zero Lyapunov exponent in the vicinity of the saddle-node bifurcation point in the presence of noise

(2008) Alexander E. Hramov 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