Resonances and Formal Stability Investigation in Hamiltonian Systems

This paper proposes a method for studying formal stability of equilibrium points in multiparameter Hamiltonian systems with three degrees of freedom. We detail a technique for the symbolic computation of resonance conditions, employing computer algebra and power geometry to represent the resonant va...

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Bibliographic Details
Published in:Mathematics in computer science Vol. 18; no. 4
Main Authors: Batkhin, Alexander, Khaydarov, Zafar
Format: Journal Article
Language:English
Published: 01.12.2024
ISSN:1661-8270, 1661-8289
Online Access:Get full text
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