Second-order differential equations with small nonlinearity and weak dissipation, such as the spin–orbit model of celestial mechanics, are considered. Explicit conditions for the coexistence of periodic orbits and estimates on the measure of the basins of attraction of stable periodic orbits are discussed.
Biasco, L., Chierchia, L. (2009). Low-order resonances in weakly dissipative spin-orbit models. JOURNAL OF DIFFERENTIAL EQUATIONS, 246, 4345-4370 [10.1016/j.jde.2008.11.008].
Low-order resonances in weakly dissipative spin-orbit models
BIASCO, LUCA;CHIERCHIA, Luigi
2009-01-01
Abstract
Second-order differential equations with small nonlinearity and weak dissipation, such as the spin–orbit model of celestial mechanics, are considered. Explicit conditions for the coexistence of periodic orbits and estimates on the measure of the basins of attraction of stable periodic orbits are discussed.File in questo prodotto:
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