Conditionally-periodic solutions of the Hamiltonian systems with multiple resonance

A method is developed to construct conditionally periodic solutions of Hamiltonian systems in the case of deep resonance and in the presence of more than one resonant vector (multiple resonance). The method depends on modification of a standard perturbation method. It is applicable to systems with m...

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Veröffentlicht in:Earth, moon, and planets moon, and planets, 1988-12, Vol.43 (3), p.289-298
Hauptverfasser: AHMED, M. K. M, YOUSEF, M. H. A
Format: Artikel
Sprache:eng
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Zusammenfassung:A method is developed to construct conditionally periodic solutions of Hamiltonian systems in the case of deep resonance and in the presence of more than one resonant vector (multiple resonance). The method depends on modification of a standard perturbation method. It is applicable to systems with more than one degree of freedom. (Author)
ISSN:0167-9295
1573-0794
DOI:10.1007/BF00117101