Method to distinguish possible chaos from colored noise and to determine embedding parameters

Deterministic Nonperiodic Flow

1963 • 18,282 citations

Measuring the strangeness of strange attractors

1983 • 5,440 citations

Ergodic theory of chaos and strange attractors

1985 • 4,768 citations

Independent coordinates for strange attractors from mutual information

1986 • 4,396 citations

Oscillation and Chaos in Physiological Control Systems

1977 • 3,922 citations

An equation for continuous chaos

1976 • 3,714 citations

Determining embedding dimension for phase-space reconstruction using a geometrical construction

1992 • 3,578 citations

A two-dimensional mapping with a strange attractor

1976 • 2,788 citations

An Algorithm for Finding Best Matches in Logarithmic Expected Time

1977 • 2,694 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

Nonlinear prediction of chaotic time series

1989 • 1,342 citations

Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system

1979 • 1,147 citations

Spurious dimension from correlation algorithms applied to limited time-series data

1986 • 967 citations

Chaotic attractors of an infinite-dimensional dynamical system

1982 • 869 citations

Nonlinear Dynamics and Stock Returns

1989 • 784 citations

Finite correlation dimension for stochastic systems with power-law spectra

1989 • 677 citations

Functional Differential Equations and Approximation of Fixed Points

1979 • 443 citations

Distinguishing random and deterministic systems: Abridged version

1986 • 397 citations

Direct test for determinism in a time series

1992 • 381 citations

Refinements to nearest-neighbor searching ink-dimensional trees

1991 • 343 citations

Information and entropy in strange attractors

1989 • 324 citations

Do climatic attractors exist?

1986 • 287 citations

Irregularity: a fundamental property of the atmosphere

1984 • 244 citations

Optimal Embeddings of Chaotic Attractors from Topological Considerations

1991 • 202 citations

Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria

1989 • 197 citations

LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS: THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA

1991 • 161 citations

Statistical precision of dimension estimators

1990 • 135 citations

Simulation of multicorrelated random processes using the FFT algorithm

1975 • 86 citations

DYNAMICAL SYSTEMS AND TURBULENCE

2010 • 56 citations

Modification of the Grassberger-Procaccia algorithm for estimating the correlation exponent of chaotic systems with high embedding dimension

1990 • 54 citations

Dimension measurement on high-dimensional systems

1992 • 40 citations