Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems
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Abstract
References (29)
Deterministic Nonperiodic Flow
1963 • 18,282 citations
The Fractal Geometry of Nature
1982 • 5,450 citations
An Introduction to Ergodic Theory
1981 • 3,414 citations
An Introduction to Ergodic Theory
1982 • 3,214 citations
Differentiable dynamical systems
1967 • 2,865 citations
A two-dimensional mapping with a strange attractor
1976 • 2,788 citations
Differentiable Dynamical Systems
1980 • 2,674 citations
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
1975 • 2,336 citations
CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
1977 • 1,403 citations
Ergodic Theory and Information
1966 • 1,133 citations
Ergodic Theory and Information
1966 • 940 citations
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
1980 • 932 citations
Ergodic theory of differentiable dynamical systems
1979 • 654 citations
Dimension, entropy and Lyapunov exponents
1982 • 633 citations
The liapunov dimension of strange attractors
1983 • 484 citations
On the dimension of the compact invariant sets of certain non-linear maps
1981 • 450 citations
An inequality for the entropy of differentiable maps
1978 • 411 citations
Expanding attractors
1974 • 312 citations
On local entropy
1983 • 302 citations
The evolution of a turbulent vortex
1982 • 192 citations
A proof of the estimation from below in Pesin's entropy formula
1982 • 180 citations
A Strange, Strange Attractor
1976 • 172 citations
Some relations between dimension and Lyapounov exponents
1981 • 166 citations
On the H�non-Pomeau attractor
1979 • 105 citations
Dynamics of the Van der Pol equation
1980 • 98 citations
Ergodic theory of axiom a diffeomorphisms
1975 • 52 citations
Capacity of attractors
1981 • 24 citations
Numerical estimates of Hausdorff dimension
1982 • 14 citations
On some systems motivated by the Lorenz equations: Numerical results
2008 • 1 citations