Abstract
. We investigate the dynamics associated to nearly integrable dissipative systems, with particular reference to some models of Celestial Mechanics which can be described in a weakly dissipative framework. We start by studying some paradigmatic models provided by the dissipative standard maps in two- and four-dimensions. The dynamical investigation is performed applying frequency analysis and computing the di?erential fast Lyapunov indicators. After recalling a few properties of adiabatic invariants, we provide some examples of nearly integrable dissipative systems borrowed from Celestial Mechanics, and precisely the spin-orbit coupling and the three-body problem. We conclude with a discussion on the existence of periodic orbits in dissipative autonomous and non-autonomous systems.
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Celletti, A. (2007). Weakly Dissipative Systems in Celestial Mechanics. In: Benest, D., Froeschle, C., Lega, E. (eds) Topics in Gravitational Dynamics. Lecture Notes in Physics, vol 729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72984-6_3
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DOI: https://doi.org/10.1007/978-3-540-72984-6_3
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