A time-dependent energy-momentum method

نویسندگان

چکیده

We devise a generalisation of the energy momentum-method for studying stability non-autonomous Hamiltonian systems with Lie group symmetries. A relative equilibrium point notion to realm is provided and studied. Relative points are described via foliated systems, which opens new field application such differential equations. reduce Marsden-Weinstein theorem we provide conditions ensuring projection reduced space. As an application, study class mechanical covers rigid bodies as particular instance.

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ژورنال

عنوان ژورنال: Journal of Geometry and Physics

سال: 2021

ISSN: ['1879-1662', '0393-0440']

DOI: https://doi.org/10.1016/j.geomphys.2021.104364