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

DOI10.1007/BF00699742zbMath0777.70007OpenAlexW4235212341WikidataQ108439678 ScholiaQ108439678MaRDI QIDQ687260

Juan-Miguel Gracia

Publication date: 12 December 1993

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

Full work available at URL: https://doi.org/10.1007/bf00699742

zbMATH Keywords

chaotic motiontangent vectorslocal variationsmoments of higher orderstochastic regions

Mathematics Subject Classification ID

Three-body problems (70F07) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Celestial mechanics (70F15)

Related Items (3)

Spectra of stretching numbers and helicity angles in dynamical systems ⋮ Dynamics of Infinitesimal Particle in the Framework of Photo-Gravitational Restricted Three-Body Problem ⋮ Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method

Cites Work

• On the disappearance of isolating integrals in dynamical systems with more than two degrees of freedom
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Numerical treatment of ordinary differential equations by extrapolation methods
• The Lyapunov characteristic exponents as indicators of stochasticity in the restricted three-body problem
• BURRAU'S PROBLEM OF THREE BODIES
• Unnamed Item

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