Precursors of state transitions in stochastic systems with delay
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[1] Henryk Gzyl,et al. Noise-induced transitions: Theory and applications in physics, chemistry and biology , 1988 .
[2] T. Kleinen,et al. Detection of climate system bifurcations by degenerate fingerprinting , 2004 .
[3] P J Beek,et al. Fokker-Planck perspective on stochastic delay systems: exact solutions and data analysis of biological systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[4] Michael C. Mackey,et al. Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors , 1989 .
[5] A. Longtin,et al. Oscillatory response in a sensory network of ON and OFF cells with instantaneous and delayed recurrent connections , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[6] Marten Scheffer,et al. Slow Recovery from Perturbations as a Generic Indicator of a Nearby Catastrophic Shift , 2007, The American Naturalist.
[7] I. Noy-Meir,et al. Stability of Grazing Systems: An Application of Predator-Prey Graphs , 1975 .
[8] T. Frank,et al. Time-dependent solutions for stochastic systems with delays: Perturbation theory and applications to financial physics , 2006 .
[9] V. Guttal,et al. Changing skewness: an early warning signal of regime shifts in ecosystems. , 2008, Ecology letters.
[10] Berkeley,et al. Critical transitions in nature and society , 2009, Choice Reviews Online.
[11] George Seifert,et al. Oscillation Theory of Delay Differential Equations (I. Györi and G. Ladas); Oscillation Theory for Neutral Differential Equations with Delay (D. D. Bainov and D. P. Mishev) , 1993, SIAM Rev..
[12] S. Strogatz. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering , 1995 .
[13] S. Carpenter,et al. Early-warning signals for critical transitions , 2009, Nature.
[14] P. D’Odorico,et al. Global desertification: Drivers and feedbacks , 2013 .
[15] P J Beek,et al. Stationary solutions of linear stochastic delay differential equations: applications to biological systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[16] Eckehard Schöll,et al. Delayed complex systems: an overview , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[17] Lalit Kumar,et al. Spatial Heterogeneity and Irreversible Vegetation Change in Semiarid Grazing Systems , 2002, The American Naturalist.
[18] G. Ladas,et al. Oscillation Theory of Delay Differential Equations: With Applications , 1992 .
[19] S. P. Blythe,et al. Nicholson's blowflies revisited , 1980, Nature.
[20] T. Frank. Delay Fokker-Planck equations, perturbation theory, and data analysis for nonlinear stochastic systems with time delays. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[21] C. S. Holling,et al. STABILITY OF SEMI-ARID SAVANNA GRAZING SYSTEMS , 1981 .
[22] S. Carpenter,et al. Rising variance: a leading indicator of ecological transition. , 2006, Ecology letters.
[23] Luca Ridolfi,et al. Noise-Induced Phenomena in the Environmental Sciences , 2011 .
[24] C. Gardiner. Handbook of Stochastic Methods , 1983 .
[25] L. Billings,et al. When to Spray: a Time-Scale Calculus Approach to Controlling the Impact of West Nile Virus , 2009 .
[26] Marten Scheffer,et al. Slowing down as an early warning signal for abrupt climate change , 2008, Proceedings of the National Academy of Sciences of the United States of America.
[27] M. Scheffer,et al. Robustness of variance and autocorrelation as indicators of critical slowing down. , 2012, Ecology.
[28] J. van de Koppel,et al. Alternate stable states and threshold effects in semi-arid grazing systems. , 1997 .
[29] M. Mackey,et al. Solution moment stability in stochastic differential delay equations. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[30] P. D’Odorico,et al. Physical and biological feedbacks of deforestation , 2012 .
[31] S. Carpenter,et al. Early Warnings of Regime Shifts: A Whole-Ecosystem Experiment , 2011, Science.
[32] David Salt,et al. Resilience Thinking : Sustaining Ecosystems and People in a Changing World , 2017 .
[33] Marten Scheffer,et al. Spatial correlation as leading indicator of catastrophic shifts , 2010, Theoretical Ecology.
[34] R. May. Thresholds and breakpoints in ecosystems with a multiplicity of stable states , 1977, Nature.
[35] Stephen R. Carpenter,et al. Variance as a Leading Indicator of Regime Shift in Ecosystem Services , 2006 .
[36] A. Longtin,et al. Small delay approximation of stochastic delay differential equations , 1999 .
[37] S. Carpenter,et al. Catastrophic shifts in ecosystems , 2001, Nature.
[38] S. Carpenter. Eutrophication of aquatic ecosystems: bistability and soil phosphorus. , 2005, Proceedings of the National Academy of Sciences of the United States of America.