Chaos in a Noisy World: New Methods and Evidence from Time-Series Analysis

Approximation by superpositions of a sigmoidal function

1989 • 12,384 citations

Detecting strange attractors in turbulence

1981 • 9,723 citations

Determining Lyapunov exponents from a time series

1985 • 8,742 citations

Empirical Model Building and Response Surfaces

1988 • 5,297 citations

Spline Models for Observational Data.

1991 • 5,272 citations

Ergodic theory of chaos and strange attractors

1985 • 4,768 citations

Geometry from a Time Series

1980 • 3,770 citations

Testing for nonlinearity in time series: the method of surrogate data

1992 • 3,621 citations

Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series

1990 • 1,839 citations

Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos

1974 • 1,622 citations

Nonlinear prediction of chaotic time series

1989 • 1,342 citations

Bifurcations and Dynamic Complexity in Simple Ecological Models

1976 • 1,239 citations

Key Factors in Population Studies

1960 • 600 citations

Complex Dynamics in Ecological Time Series

1992 • 570 citations

Chaos in Ecology: Is Mother Nature a Strange Attractor?

1993 • 539 citations

Coevolution to the edge of chaos: Coupled fitness landscapes, poised states, and coevolutionary avalanches

1991 • 528 citations

Ergodic Theory of Random Transformations

1986 • 495 citations

Fluctuations and simple chaotic dynamics

1982 • 480 citations

Approximation and estimation bounds for artificial neural networks

1991 • 457 citations

Some Asymptotic Results for Learning in Single Hidden-Layer Feedforward Network Models

1989 • 428 citations

Chaos reduces species extinction by amplifying local population noise

1993 • 359 citations

Computing the Lyapunov spectrum of a dynamical system from an observed time series

1991 • 346 citations

Coexistence in Laboratory Populations of Paramecium Aurelia and Its Predator Didinium Nasutum

1973 • 323 citations

Finding Chaos in Noisy Systems

1992 • 311 citations

On learning the derivatives of an unknown mapping with multilayer feedforward networks

1992 • 309 citations

Exploring Fitness Surfaces

1994 • 302 citations

Voles, Mice and Lemmings: Problems in Population Dynamics

1942 • 242 citations

Nonlinear Modeling And Forecasting

1992 • 235 citations

Are ecological systems chaotic — And if not, why not?

1989 • 220 citations

A Statistical Analysis of the 10-Year Cycle in Canada

1974 • 211 citations

Chaotic stochasticity: a ubiquitous source of unpredictability in epidemics

1991 • 202 citations

An improved method for estimating Liapunov exponents of chaotic time series

1990 • 191 citations

RECURRENT OUTBREAKS OF MEASLES, CHICKENPOX AND MUMPS

1973 • 183 citations

Variation of Lyapunov exponents on a strange attractor

1991 • 179 citations

Local Lyapunov exponents computed from observed data

1992 • 173 citations

Complexity Regularization with Application to Artificial Neural Networks

1991 • 164 citations

Estimating the Lyapunov Exponent of a Chaotic System with Nonparametric Regression

1992 • 154 citations

Fundamental Concepts and Methodology for the Analysis of Animal Population Dynamics, with Particular Reference to Univoltine Species

1981 • 152 citations

Stretching and Folding in Lynx Fur Returns: Evidence for a Strange Attractor in Nature?

1984 • 150 citations

Population Fluctuation, an Experimental and Theoretical Approach

1957 • 150 citations

Interactions ofTetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and Glucose in a Minimal Medium

1973 • 146 citations

Identification and prediction of low dimensional dynamics

1992 • 136 citations

Gcvpack – routines for generalized cross validation

1987 • 131 citations

Do Strange Attractors Govern Ecological Systems?

1985 • 129 citations

Predator-Prey Interactions ofDictyostelium discoideumandEscherichia coliin Continuous Culture

1972 • 117 citations

Problems of Animal Ecology.

1939 • 111 citations

Convergence rates and data requirements for Jacobian-based estimates of Lyapunov exponents from data

1991 • 111 citations

Predation in an Experimental Protozoan Population (Woodruffia‐Paramecium)

1967 • 103 citations

Effects of noise on some dynamical models in ecology

1986 • 101 citations

Notes on the Wolverine in Alaska and the Yukon Territory

1972 • 98 citations

Population Changes in German Forest Pests

1949 • 95 citations

An Analysis of the Predatory Interaction Between Paramecium and Didinium

1979 • 90 citations

Ecology of small mammals

1979 • 87 citations

Local Lyapunov Exponents: Looking Closely at Chaos

1992 • 82 citations

Estimating Dimension in Noisy Chaotic Time Series

1992 • 79 citations

Homeochaos: dynamics stability of a symbiotic network with population dynamics and evolving mutation rates

1992 • 78 citations

Problems in Detecting Chaotic Behavior in Natural Populations by Fitting Simple Discrete Models

1990 • 76 citations

Annual Trends in a Natural Population of Thrips imaginis (Thysanoptera)

1948 • 72 citations

Noise in chaotic systems

1982 • 61 citations

Fluctuations in Numbers of the Muskrat (Ondatra zibethica) in Canada

1942 • 57 citations

Periodic Fluctuations in British Game Populations

1934 • 48 citations

Evolution of host–parasitoid network through homeochaotic dynamics

1992 • 47 citations

A time series and geographical analysis of population dynamics of the red-backed vole in Hokkaido, Japan

1987 • 44 citations

Deterministic noise amplifiers

1992 • 40 citations

LENNS, a program to estimate the dominant Lyapunov exponent of noisy nonlinear systems from time series data

1992 • 36 citations

Population cycles in mammals and birds: Does periodicity scale with body size?

1991 • 35 citations

The stability and instability of small mammal populations

1979 • 32 citations

Aggregation of Parasitoids and the Detection of Density Dependence in Field Populations

1987 • 27 citations

Detecting nonlinearity and chaos in epidemic data

1993 • 26 citations

The extent of complex population changes in nature

1990 • 24 citations

Fur-Farming in Canada

2020 • 21 citations

The Place of Change in Population Processes

1957 • 19 citations

Levels of Density Variation: The Adequacy of Indices and Chaos

1991 • 9 citations

AN ACARINE PREDATOR–PREY POPULATION INFESTING STORED PRODUCTS

1964 • 8 citations