Effects of manifold correction methods on chaos indicators

DOI10.1007/s10569-015-9628-1zbMath1428.70017OpenAlexW895272861MaRDI QIDQ748275

Publication date: 20 October 2015

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-015-9628-1

zbMATH Keywords

chaos numerical integration Lyapunov exponents FLI least squares correction manifold correction method RLI SALI

Mathematics Subject Classification ID

Three-body problems (70F07)

Cites Work

Unnamed Item
Dynamics of a test particle around two massive bodies in decay circular orbits
The adjustment-stabilization method for constrained systems
Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method
The chromatic number of 5-valent circulants
Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
Numerical calculations in the orbital determination of an artificial satellite for a long arc
Fast Lyapunov indicators. Application to asteroidal motion
Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
The relative Lyapunov indicator: an efficient method of chaos detection
Computation of Lyapunov exponents in general relativity
A systematic study of the stability of symmetric periodic orbits in the planar, circular, restricted three-body problem
Periodic orbits and bifurcations in the Sitnikov four-body problem
Minimum fuel control of the planar circular restricted three-body problem
Flybys in the planar, circular, restricted, three-body problem
The stability of vertical motion in the \(N\)-body circular Sitnikov problem
Evolution of the \(\mathcal{L}_1\) halo family in the radial solar sail circular restricted three-body problem.
Stability of motion in the Sitnikov 3-body problem
A new test for chaos in deterministic systems
Solar System Dynamics
Alignment indices: a new, simple method for determining the ordered or chaotic nature of orbits
Ergodic theory of chaos and strange attractors
VELOCITY CORRECTIONS TO KEPLER ENERGY AND LAPLACE INTEGRAL
On propagation failure in one- and two-dimensional excitable media
The phase space structure around \(L_4\) in the restricted three-body problem
On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool

This page was built for publication: Effects of manifold correction methods on chaos indicators