Low-order resonances in weakly dissipative spin-orbit models

DOI10.1016/J.JDE.2008.11.008zbMath1178.34043OpenAlexW1976306052MaRDI QIDQ1019673

Luca Biasco, Luigi Chierchia

Publication date: 4 June 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.11.008

zbMATH Keywords

differential equationbasins of attractionperiodic attractors

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Celestial mechanics (70F15) Attractors of solutions to ordinary differential equations (34D45)

Related Items (3)

Measures of basins of attraction in spin-orbit dynamics ⋮ Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods ⋮ The spin-orbit resonances of the solar system: a mathematical treatment matching physical data

Cites Work

• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• Measures of basins of attraction in spin-orbit dynamics
• Quasi-periodic attractors in celestial mechanics
• Towards global models near homoclinic tangencies of dissipative diffeomorphisms
• Regularization of kepler's problem and the averaging method on a manifold
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