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DTSTART;TZID=Europe/Brussels:20250415T130000
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DTSTAMP:20260413T210143
CREATED:20250308T105720Z
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UID:2334-1744722000-1744725600@www.naxys.be
SUMMARY:Kovács Tamás (Eötvös Loránd University)
DESCRIPTION:Title : Spin-orbit dynamics under parameter drift \nAbstract : \n\n\nThe dynamics of an oblate satellite in a fixed elliptical orbit\, with its spin axis perpendicular to the orbital plane around a spherical planet\, exhibit rich coupling between rotation and orbital motion\, known as spin-orbit resonance. It is well known that the phase space of low-dimensional deterministic Hamiltonian systems contains regions of both chaotic and regular motion—namely\, chaotic bands and invariant curves (KAM tori)—depending on the initial conditions and system parameters. In the steady-state case\, these structures remain stationary. However\, when system parameters change over time\, due to various internal or external influences\, the geometry of phase space evolves accordingly. This necessitates a shift from traditional single-trajectory analysis to an ensemble-based approach\, enabling a consistent framework to describe phase space structures in non-autonomous Hamiltonian systems. In this context\, we also generalize the classical Lyapunov exponent to account for explicit time dependence\, providing a numerical stability measure for the evolving dynamics. Finally\, we propose a preliminary analytical description of the time-dependent phase space structures and their evolution.\n\n\n\n\n\n  \n\n\n\nThe seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/kovacs-tamas-eotvos-lorand-university/
CATEGORIES:NAXYS Seminar
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