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This article is cited in 2 scientific papers (total in 2 papers)
On the Method of Introduction of Local Variables in a Neighborhood of Periodic Solution of a Hamiltonian System with Two Degrees of Freedom
Boris S. Bardin Department of Mechatronic and Theoretical Mechanics,
Institute of Computer Science and Applied Mathematics,
Moscow Aviation Institute (National Research University),
Volokolamskoe sh. 4, 125993 Moscow, Russia
Abstract:
A general method is presented for constructing a nonlinear canonical transformation,
which makes it possible to introduce local variables in a neighborhood of periodic motions
of an autonomous Hamiltonian system with two degrees of freedom. This method can be used for
investigating the behavior of the Hamiltonian system in the vicinity of its periodic trajectories.
In particular, it can be applied to solve the problem of orbital stability of periodic motions.
Keywords:
normal form, KAM theory, orbital stability, periodic orbit, Hamiltonian system, canonical transformation.
Received: 11.12.2022 Accepted: 01.11.2023
Citation:
Boris S. Bardin, “On the Method of Introduction of Local Variables in a Neighborhood of Periodic Solution of a Hamiltonian System with Two Degrees of Freedom”, Regul. Chaotic Dyn., 28:6 (2023), 878–887
Linking options:
https://www.mathnet.ru/eng/rcd1239 https://www.mathnet.ru/eng/rcd/v28/i6/p878
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Abstract page: | 36 | References: | 11 |
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