Estimating the Lyapunov Exponent of a Chaotic System with Nonparametric Regression

Detecting strange attractors in turbulence

1981 • 9,723 citations

Determining Lyapunov exponents from a time series

1985 • 8,742 citations

Spline Models for Observational Data.

1991 • 5,272 citations

Ergodic theory of chaos and strange attractors

1985 • 4,768 citations

Journal of the Royal Statistical Society.

1923 • 3,533 citations

Spline Models for Observational Data

1990 • 3,507 citations

Martingale Limit Theory and its Application.

1984 • 2,982 citations

Projection Pursuit Regression

1981 • 2,099 citations

Martingale Limit Theory and its Application

1980 • 2,084 citations

Predicting chaotic time series

1987 • 1,928 citations

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

1990 • 1,839 citations

Deterministic chaos: An introduction

1984 • 1,529 citations

Nonlinear prediction of chaotic time series

1989 • 1,342 citations

"Detecting Strange Attractors in Turbulence, " in "Dynamical Systems and Turbulence"

1981 • 1,240 citations

From Clocks to Chaos: The Rhythms of Life

1989 • 1,185 citations

From Clocks to Chaos

1988 • 1,167 citations

Products of Random Matrices

1960 • 1,079 citations

Spline Smoothing and Nonparametric Regression.

1989 • 1,056 citations

Linear Smoothers and Additive Models

1989 • 983 citations

Liapunov exponents from time series

1986 • 957 citations

Low-dimensional chaos in an instance of epilepsy.

1986 • 767 citations

Deterministic Chaos: An Introduction

1988 • 672 citations

Ergodic Theory of Random Transformations

1986 • 495 citations

Dimensions and Entropies in Chaotic Systems

1986 • 468 citations

Is the business cycle characterized by deterministic chaos?

1988 • 421 citations

Chaotic Vibrations: An Introduction for Applied Scientists and Engineers

1989 • 404 citations

Chaos in biological systems

1985 • 381 citations

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

1991 • 346 citations

The Claude Bernard Lecture, 1989 - Deterministic chaos: the science and the fiction

1990 • 312 citations

Finding Chaos in Noisy Systems

1992 • 311 citations

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

1992 • 309 citations

Low-Dimensional Chaos in a Hydrodynamic System

1983 • 306 citations

Chaotic Vibrations: An Introduction for Applied Scientists and Engineers

1988 • 296 citations

Exploiting Chaos to Predict the Future and Reduce Noise

1989 • 274 citations

Strange attractors in weakly turbulent Couette-Taylor flow

1987 • 224 citations

Random Matrices and Their Applications

1986 • 216 citations

An improved method for estimating Liapunov exponents of chaotic time series

1990 • 191 citations

An attractor in a solar time series

1987 • 175 citations

Confidence intervals for demographic projections based on products of random matrices

1985 • 157 citations

Evolution, Learning and Cognition

1989 • 155 citations

Gcvpack – routines for generalized cross validation

1987 • 131 citations

Multivariate Smoothing Spline Functions

1984 • 106 citations

Bias and error bars in dimension calculations and their evaluation in some simple models

1989 • 101 citations

Evidence for chaos in spike trains of neurons that generate rhythmic motor patterns

1988 • 101 citations

Dimension Measurements for Geostrophic Turbulence

1983 • 99 citations

Mixing properties of harris chains and autoregressive processes

1986 • 98 citations

Mixing properties of harris chains and autoregressive processes

1986 • 75 citations

Changing criteria for imposing order

1988 • 66 citations

Noise in chaotic systems

1982 • 61 citations

H. G. Schuster:Deterministic Chaos, Second Revised Edition, VCH Verlagsgesellschaft, Weinheim. 273 Seiten, Preis: DM 108,-

1988 • 59 citations

Lyapunov exponents: A survey

1986 • 58 citations

Prediction and system identification in chaotic nonlinear systems: Time series with broadband spectra

1989 • 52 citations

An estimate for multivariate interpolation II

2006 • 50 citations

Comparison of Algorithms for Determining Lyapunov Exponents from Experimental Data

1986 • 47 citations

Variability and Chaos: Neurointegrative Principles in Self-Organization of Motor Patterns

1989 • 41 citations

Nonlinearities and Complex Behavior in Simple Ecological and Epidemiological Modelsa

1987 • 31 citations

Lasers and Brains: Complex Systems with Low-Dimensional Attractors

1986 • 26 citations

Chaotic phenomena in astrophysics

1987 • 18 citations

An estimate for multivariate interpolation

1985 • 17 citations

Chaotic Phenomena in Astrophysics

1987 • 15 citations

On randomness, determinism and computability

1988 • 11 citations

Chaotic Behavior in Variable Starsa

1987 • 8 citations

An asymptotic representation for products of random matrices

1985 • 5 citations