The Static and Dynamic Invariants that Characterize Chaos and the Relations Between Them in Theory and Experiments

The Fractal Geometry of Nature

1983 • 22,064 citations

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

1983 • 15,918 citations

The Fractal Geometry of Nature.

1984 • 15,007 citations

Measuring the strangeness of strange attractors

1983 • 5,440 citations

Characterization of Strange Attractors

1983 • 4,655 citations

Quantitative universality for a class of nonlinear transformations

1978 • 3,457 citations

The infinite number of generalized dimensions of fractals and strange attractors

1983 • 1,727 citations

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

1977 • 1,403 citations

The universal metric properties of nonlinear transformations

1979 • 1,381 citations

Estimation of the Kolmogorov entropy from a chaotic signal

1983 • 1,376 citations

Kolmogorov entropy and numerical experiments

1976 • 1,221 citations

The dimension of chaotic attractors

1983 • 1,088 citations

Chaotic attractors of an infinite-dimensional dynamical system

1982 • 869 citations

Dimension, entropy and Lyapunov exponents

1982 • 633 citations

Low-Dimensional Chaos in a Hydrodynamic System

1983 • 306 citations

Characterization of experimental (noisy) strange attractors

1984 • 236 citations

Ergodic Theory — Introductory Lectures

1975 • 185 citations

Some relations between dimension and Lyapounov exponents

1981 • 166 citations

Impracticality of a box-counting algorithm for calculating the dimensionality of strange attractors

1982 • 164 citations

Statistical physics and chaos in fusion plasmas

1984 • 159 citations

Dimension of strange attractors : an experimental determination for the chaotic regime of two convective systems

1983 • 143 citations

On the Hausdorff dimension of fractal attractors

1981 • 124 citations

The Lyapunov dimension of a nowhere differentiable attracting torus

1984 • 120 citations

Dimension Measurements for Geostrophic Turbulence

1983 • 99 citations

Method for calculating a Lyapunov exponent

1984 • 42 citations