Back to search

Small random perturbations of dynamical systems and the definition of attractors

Data up to Jan 2025

Published1981
Citations193
References36

Total Citations Per Year

Abstract

References (36)

Deterministic Nonperiodic Flow

1963 • 18,282 citations

Quantitative universality for a class of nonlinear transformations

1978 • 3,457 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

On the nature of turbulence

1971 • 2,275 citations

Iterated Maps on the Interval as Dynamical Systems

2009 • 1,700 citations

Isolated Invariant Sets and the Morse Index

1978 • 1,651 citations

On the nature of turbulence

1971 • 1,412 citations

The universal metric properties of nonlinear transformations

1979 • 1,381 citations

Ergodic theory of differentiable dynamical systems

1979 • 654 citations

The Ergodic Theory of Axiom A Flows

1975 • 631 citations

The ergodic theory of AxiomA flows

1975 • 584 citations

A Measure Associated with Axiom-A Attractors

1976 • 416 citations

Onset of Turbulence in a Rotating Fluid

1975 • 416 citations

A mathematical example displaying features of turbulence

1948 • 374 citations

Thermodynamic formalism. The mathematical structures of classical equilibrium statistical mechanics

1980 • 361 citations

A computer-assisted proof of the Feigenbaum conjectures

1982 • 352 citations

Characteristic Exponents and Invariant Manifolds in Hilbert Space

1982 • 336 citations

The transition to aperiodic behavior in turbulent systems

1980 • 325 citations

Expanding attractors

1974 • 312 citations

On axiom A diffeomorphisms

1978 • 249 citations

Universal properties of maps on an interval

1980 • 215 citations

Low-Temperature Studies of the Rayieigh-Bénard Instability and Turbulence

1974 • 162 citations

ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS

1974 • 88 citations

Structure of mappings of an interval with zero entropy

1981 • 83 citations

On the existence of Feigenbaum's fixed point

1981 • 74 citations

Attractors: persistence, and density of their basins

1982 • 74 citations

Dynamical systems with turbulent behavior

2008 • 67 citations

Some remarks about computer studies of dynamical systems

1982 • 44 citations

Differentiable dynamical systems and the problem of turbulence

1981 • 35 citations

Hydrodynamic fluctuation theories

1978 • 23 citations

Stochastic stability of the topological pressure

1980 • 15 citations

DIFFERENTIABILITY AND CONTINUITY OF INVARIANT MANIFOLDS*

1980 • 9 citations

Topologie générale : fascicule de résultats

1953 • 6 citations

Cited By (0)

Loading...