Amplitude Instability and Ergodic Behavior for Conservative Nonlinear Oscillator Systems

The applicability of the third integral of motion: Some numerical experiments

1964 • 1,968 citations

Introduction to Non-linear Mechanics

2024 • 1,184 citations

SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

1963 • 1,116 citations

Zur kinetischen Theorie der Wärmeleitung in Kristallen

1929 • 907 citations

PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

1963 • 886 citations

Vibration of a Chain with Nonlinear Interaction

1967 • 793 citations

Convergent series expansions for quasi-periodic motions

1967 • 571 citations

Dynamical Systems

1927 • 518 citations

Oil constructing formal integrals of a Hamiltonian system near ail equilibrium point

1966 • 420 citations

Destruction of magnetic surfaces by magnetic field irregularities

1966 • 378 citations

Monte Carlo Calculation of Triatomic Dissociation Rates. I. N2O and O3

1962 • 198 citations

Nonequilibrium Statistical Mechanics

1998 • 157 citations

Poincaré Cycles, Ergodicity, and Irreversibility in Assemblies of Coupled Harmonic Oscillators

1960 • 143 citations

Anharmonicity in Unimolecular Reactions

1961 • 125 citations

On the isolating character of the "third" integral in a resonance case

1966 • 112 citations

Computer Studies of Energy Sharing and Ergodicity for Nonlinear Oscillator Systems

1963 • 109 citations

On the existence of a third integral of motion

1963 • 85 citations

Dynamics of nonlinear lattices I. Localized optical excitations, acoustic radiation, and strong nonlinear behavior

1967 • 64 citations

Nonlinear Coupled Oscillators. I. Perturbation Theory; Ergodic Problem

1963 • 61 citations

Nonlinear Coupled Oscillators. II. Comparison of Theory with Computer Solutions

1963 • 47 citations

Computer Studies on the Approach to Thermal Equilibrium in Coupled Anharmonic Oscillators. I. Two Dimensional Case

1969 • 42 citations

Energy Sharing and Equilibrium for Nonlinear Systems

1964 • 38 citations

Some dynamical systems of two degrees of freedom in celestial mechanics

1966 • 37 citations

Composition Dependence of the High Temperature Superconductivity in (Ba, Sr)-La-(Hg, Ag)-Cu-O System with K₂NiF₄-Type Structure

1987 • 22 citations

Characteristics of Invariant Curves of Plane Orbits

1968 • 17 citations

The "third" Integral in Non-Smooth Potentials.

1964 • 11 citations

Computer Simulation of Vacancy Migration

1966 • 11 citations