Evolution of the Tangent Vectors and Localization of the Stable and Unstable Manifolds of Hyperbolic Orbits by Fast Lyapunov Indicators
From MaRDI portal
Publication:2930932
DOI10.1137/130930224zbMath1351.37106arXiv1307.6731OpenAlexW2094202995MaRDI QIDQ2930932
Massimilliano Guzzo, Elena Lega
Publication date: 21 November 2014
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6731
Three-body problems (70F07) Invariant manifold theory for dynamical systems (37D10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (10)
Three-dimensional representations of the tube manifolds of the planar restricted three-body problem ⋮ The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems ⋮ Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem ⋮ On the Sun-shadow dynamics ⋮ Detection of separatrices and chaotic seas based on orbit amplitudes ⋮ Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics ⋮ Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem ⋮ Symbolic dynamics in a binary asteroid system ⋮ Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors ⋮ Trojan resonant dynamics, stability, and chaotic diffusion, for parameters relevant to exoplanetary systems
This page was built for publication: Evolution of the Tangent Vectors and Localization of the Stable and Unstable Manifolds of Hyperbolic Orbits by Fast Lyapunov Indicators
