Chaos in numerical analysis of ordinary differential equations

A two-dimensional mapping with a strange attractor

M. Hénon · Communications in Mathematical Physics · 1976 · 2.9K citations

Attractor, Strange Attractor, High-dimensional Chaos +1

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

M. Hénon, C. Heiles · The Astronomical Journal · 1964 · 2K citations

Numerical Analysis, Integral Geometry, Engineering +13

Dynamical systems with two degrees of freedom

George D. Birkhoff · Transactions of the American Mathematical Society · 1917 · 284 citations

X/7 Reduces, Deterministic Dynamical System, Discrete Dynamical System +3

On the applicability of the third integral of motion

Martin Braun · Journal of Differential Equations · 1973 · 72 citations

Integral Geometry, Definite Integral, Classical Mechanic +1

Central difference scheme and chaos

Shigehiro Ushiki · Physica D Nonlinear Phenomena · 1982 · 70 citations

Central Difference Scheme, Discrete Dynamic, High-dimensional Chaos +1