Chaos in a long-term experiment with a plankton community
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Marten Scheffer | Stephen P. Ellner | Jef Huisman | Klaus D. Jöhnk | Elisa Benincà | J. Huisman | S. Ellner | M. Scheffer | E. V. Nes | E. Benincà | K. Jöhnk | Reinhard Heerkloss | Pedro Branco | R. Heerkloss | Egbert H. Van Nes | Pedro Branco
[1] P. Welch. The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms , 1967 .
[2] H. F. Nijhout,et al. Stability in Real Food Webs: Weak Links in Long Loops , 2002 .
[3] Robert M. May,et al. Simple mathematical models with very complicated dynamics , 1976, Nature.
[4] G. Klinkenberg,et al. Chaotic dynamics of a plankton community in a species-depleted mesocosmos , 1993 .
[5] Donald B. Percival,et al. Spectral Analysis for Physical Applications , 1993 .
[6] J. Zbilut,et al. Recurrence quantification analysis as a tool for characterization of non-linear mesocosm dynamics , 2002 .
[7] C. Torrence,et al. A Practical Guide to Wavelet Analysis. , 1998 .
[8] Y. Benjamini,et al. Controlling the false discovery rate: a practical and powerful approach to multiple testing , 1995 .
[9] Horst Malchow,et al. Experimental demonstration of chaos in a microbial food web , 2005, Nature.
[10] A. Gallant,et al. Finding Chaos in Noisy Systems , 1992 .
[11] James C. Frauenthal,et al. Stable Points, Stable Cycles and Chaos , 1979 .
[12] Brian Dennis,et al. Chaotic Dynamics in an Insect Population , 1997, Science.
[13] M. Rosenstein,et al. A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .
[14] A. R. Gallant,et al. Noise and Nonlinearity in Measles Epidemics: Combining Mechanistic and Statistical Approaches to Population Modeling , 1998, The American Naturalist.
[15] G. Klinkenberg,et al. A LONG-TERM SERIES OF A PLANKTONIC FOODWEB : A CASE OF CHAOTIC DYNAMICS , 1998 .
[16] E. Lorenz. Atmospheric predictability experiments with a large numerical model , 1982 .
[17] Katie Bloor,et al. Experimental demonstration of chaotic instability in biological nitrification , 2007, The ISME Journal.
[18] George Sugihara,et al. Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series , 1990, Nature.
[19] James A. Yorke,et al. SPURIOUS LYAPUNOV EXPONENTS IN ATTRACTOR RECONSTRUCTION , 1998 .
[20] C. Zimmer. Life After Chaos , 1999, Science.
[21] Theiler,et al. Spurious dimension from correlation algorithms applied to limited time-series data. , 1986, Physical review. A, General physics.
[22] David M. Karl,et al. Reduced mixing generates oscillations and chaos in the oceanic deep chlorophyll maximum , 2006, Nature.
[23] F. Takens. Detecting strange attractors in turbulence , 1981 .
[24] John Vandermeer,et al. Loose Coupling of Predator-Prey Cycles: Entrainment, Chaos, and Intermittency in the Classic Macarthur Consumer-Resource Equations , 1993, The American Naturalist.
[25] Holger Kantz,et al. Practical implementation of nonlinear time series methods: The TISEAN package. , 1998, Chaos.
[26] A. Hastings,et al. Chaos in a Three-Species Food Chain , 1991 .
[27] Jürgen Kurths,et al. Recurrence plots for the analysis of complex systems , 2009 .
[28] Eckmann,et al. Liapunov exponents from time series. , 1986, Physical review. A, General physics.
[29] Bruce E. Kendall,et al. Cycles, chaos, and noise in predator–prey dynamics , 2001 .
[30] Anthony C. Davison,et al. Bootstrap Methods and Their Application , 1998 .
[31] M. Scheffer,et al. Minimal models of top‐down control of phytoplankton , 2000 .
[32] U. Sommer,et al. The influence of the frequency of periodic disturbances on the maintenance of phytoplankton diversity , 1986, Oecologia.
[33] J. Huisman,et al. Biodiversity of plankton by species oscillations and chaos , 1999, Nature.
[34] Michael E. Gilpin,et al. Spiral Chaos in a Predator-Prey Model , 1979, The American Naturalist.
[35] John Guckenheimer,et al. Noise in chaotic systems , 1982 .
[36] J. M. Mitchell,et al. On the Power Spectrum of “Red Noise” , 1963 .
[37] S. Wood. Generalized Additive Models: An Introduction with R , 2006 .
[38] J. Perry,et al. Chaos in real data : analysis of non-linear dynamics from short ecological time-series , 2000 .
[39] M. Holyoak,et al. Complex Population Dynamics: A Theoretical/Empirical Synthesis , 2003 .
[40] Richard J. Smith,et al. Estimating local Lyapunov exponents , 1997 .
[41] A. C. Redfield. The biological control of chemical factors in the environment. , 1960, Science progress.
[42] A. Gallant,et al. Estimating the Lyapunov Exponent of a Chaotic System with Nonparametric Regression , 1992 .
[43] Steven H. Strogatz,et al. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering , 1994 .
[44] A. Hastings,et al. Weak trophic interactions and the balance of nature , 1998, Nature.
[45] Michael S. Gaines,et al. Biological Populations with Nonoverlapping Generations : Stable Points , Stable Cycles , and Chaos , 2007 .
[46] H. Kantz,et al. Nonlinear time series analysis , 1997 .
[47] Douglas W. Nychka,et al. LENNS, a program to estimate the dominant Lyapunov exponent of noisy nonlinear systems from time series data , 1992 .
[48] D. Rand,et al. Dynamical Systems and Turbulence, Warwick 1980 , 1981 .
[49] S. Ellner,et al. Crossing the hopf bifurcation in a live predator-prey system. , 2000, Science.
[50] K. Porter,et al. The use of DAPI for identifying and counting aquatic microflora1 , 1980 .
[51] Steven H. Strogatz,et al. Nonlinear Dynamics and Chaos , 2024 .
[52] Douglas W. Nychka,et al. Chaos with Confidence: Asymptotics and Applications of Local Lyapunov Exponents , 1997 .
[53] A. Wolf,et al. Determining Lyapunov exponents from a time series , 1985 .
[54] Stephen P. Ellner,et al. Chaos in a Noisy World: New Methods and Evidence from Time-Series Analysis , 1995, The American Naturalist.
[55] Marten Scheffer,et al. Large Species Shifts Triggered by Small Forces , 2004, The American Naturalist.
[56] Leonard A. Smith,et al. Distinguishing between low-dimensional dynamics and randomness in measured time series , 1992 .
[57] H. Broer. Dynamical systems and turbulence, Warwick 1980 , 1981 .
[58] R. Heerkloss,et al. Influence of eutrophication on seasonal variations of zooplankton biomass in shallow coastal lagoons of the Southern Baltic , 1991 .
[59] D. Ruelle,et al. Recurrence Plots of Dynamical Systems , 1987 .