Differentiable dynamical systems

Theory of ordinary differential equations

1956 • 5,705 citations

Topological Transformation Groups.

1956 • 1,137 citations

Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series

1956 • 1,034 citations

Transversal mappings and flows

2008 • 840 citations

Ergodic Theory and Information.

1966 • 778 citations

Homogeneous Vector Bundles

1957 • 769 citations

On conservation of conditionally periodic motions for a small change in Hamilton's function

1954 • 675 citations

On the Existence of Slices for Actions of Non-Compact Lie Groups

1961 • 656 citations

The Calculus of Variations in the Large

1934 • 642 citations

Introduction to differentiable manifolds

1963 • 579 citations

Die Stabilit�tsfrage bei Differentialgleichungen

1930 • 550 citations

Structural stability on two-dimensional manifolds

1962 • 550 citations

Lie Algebra Cohomology and the Generalized Borel-Weil Theorem

1961 • 531 citations

Diffeomorphisms with Many Periodic Points

1965 • 482 citations

Lectures on Differential Geometry

1999 • 438 citations

On the Cohomology of Compact Homogeneous Spaces of Nilpotent Lie Groups

1954 • 424 citations

Local Contractions and a Theorem of Poincare

1957 • 417 citations

On the Structure of Local Homeomorphisms of Euclidean n-Space, II

1958 • 391 citations

On Gradient Dynamical Systems

1961 • 385 citations

Topological Dynamics

1955 • 345 citations

Measure-Preserving Homeomorphisms and Metrical Transitivity

1941 • 341 citations

On Periodic Points

1965 • 335 citations

Surface transformations and their dynamical applications

1922 • 333 citations

The Structure of Distal Flows

1963 • 270 citations

Morse inequalities for a dynamical system

1960 • 260 citations

One-dimensional non-wandering sets

1967 • 250 citations

Distal transformation groups

1958 • 240 citations

The Closing Lemma

1967 • 237 citations

On the periodic motions of dynamical systems

1927 • 232 citations

An Improved Closing Lemma and a General Density Theorem

1967 • 224 citations

Real Algebraic Manifolds

1952 • 206 citations

Foliations and Pseudogroups

1965 • 198 citations

The Extensibility of Local Lie Groups of Transformations and Groups on Surfaces

1950 • 195 citations

The dynamics of geodesic flows

1939 • 181 citations

Fixed point index and fixed point theorem for Euclidean neighborhood retracts

1965 • 161 citations

Flows on Homogeneous Spaces. (AM-53)

1963 • 159 citations

Ergodentheorie

1937 • 158 citations

Structurally Stable Systems are not Dense

1966 • 155 citations

On Structural Stability

1959 • 138 citations

A One-to-One Representation of Geodesics on a Surface of Negative Curvature

1921 • 135 citations

Generic one-parameter families of vector fields on two-dimensional manifolds

1974 • 133 citations

On an approximation theorem of Kupka and Smale

1967 • 129 citations

On Discrete Subgroups of Lie Groups (II)

1962 • 125 citations

Energy Functions for Morse Smale Systems

1968 • 115 citations

Errata: A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds

1963 • 113 citations

An Index of Fixed Point Type for Periodic Orbits

1967 • 111 citations

The Structure of Local Homeomorphisms, III

1959 • 101 citations

Minimal sets: An introduction to topological dynamics

1958 • 87 citations

Topological Entropy

1965 • 76 citations

Dynamical Systems with Two Degrees of Freedom

1917 • 72 citations

SOME MODERN PROBLEMS IN THE QUALITATIVE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS

1965 • 65 citations

Ordinary Differential Equations

2014 • 63 citations

Geodesic Flows on Symmetric Riemann Spaces

1957 • 61 citations

Equivalence of nearby differentiable actions of a compact group

1961 • 61 citations

The Existence of Periodic Points

1953 • 60 citations

Common singularities of commuting vector fields on 2-manifolds

1964 • 58 citations

On the Discrete Subgroups and Homogeneous Spaces of Nilpotent Lie Groups

1951 • 54 citations

The Construction of Minimal Discrete Flows

1965 • 48 citations

Structurally Stable Differential Systems

1961 • 35 citations

Commuting Vector Fields on S 3

1965 • 34 citations

NON-LINEAR TRANSFORMATION STUDIES ON ELECTRONIC COMPUTERS

2023 • 31 citations

DYNAMICAL SYSTEMS AND THE TOPOLOGICAL CONJUGACY PROBLEM FOR DIFFEOMORPHISMS

2010 • 30 citations

Deformations of Compact Differentiable Transformation Groups

1960 • 29 citations

Distal Affine Transformation Groups

1968 • 28 citations

On the Classification of Differentiable SO(n) Actions on Simply Connected π-Manifolds

1966 • 23 citations

Perturbation Theory for Almost Periodic Solutions for Undamped Nonlinear Differential Equations

1963 • 23 citations

Closed Integral Curves in 3-Space and Isotopic Two-Dimensional Deformations

1950 • 21 citations

Roughness of Geodesic Flows on Compact Riemannian Manifolds of Negative Curvature

2020 • 20 citations

Common periodic points of commuting functions.

1965 • 18 citations

A Structurally Stable Differentiable Homeomorphism with an Infinite Number of Periodic Points

2007 • 18 citations

Fixed points for iterates

1968 • 18 citations

Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature

2020 • 17 citations

Structurally Stable Systems on Open Manifolds are Never Dense

1968 • 17 citations

The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point

1968 • 15 citations

Homeomorphic Conjugacy of Automorphisms on the Torus

1965 • 14 citations

A generalization of Morse-Smale inequalities

1964 • 14 citations

Actions ofR n on manifolds

1966 • 13 citations

Degeneracy of orbits of actions ofR m on a manifold

1966 • 8 citations

THE TOPOLOGY SUMMER INSTITUTE (Seattle, U.S.A., 1963)

1965 • 7 citations

SMOOTH FOLIATIONS ON THREE-DIMENSIONAL MANIFOLDS

1964 • 5 citations

Remarks on Differentiable Actions of Non-Compact Semi-Simple Lie Groups on Euclidean Spaces

1968 • 4 citations

The Entropy of Chebyshev Polynomials

1966 • 2 citations