Concepedia

Generalized Lyapunov exponents indicators in Hamiltonian dynamics: An application to a double star system

C. Froeschl�, R. Dvořák

Celestial Mechanics and Dynamical Astronomy · 1993 · 25 citations · 6 references

DOI

Concepts

References

6

A universal instability of many-dimensional oscillator systems

B. V. Chirikov · Physics Reports · 1979 · 4.3K citations

, , +13

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

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

, , +4

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory

Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica · 1980 · 1.9K citations

, , +15

Numerical treatment of ordinary differential equations by extrapolation methods

Roland Bulirsch, Josef Stoer · Numerische Mathematik · 1966 · 850 citations

, , +12

The Lyapunov characteristic exponents as indicators of stochasticity in the restricted three-body problem

R. Gonczi · Celestial Mechanics and Dynamical Astronomy · 1981 · 42 citations

, , +14