Characterization of vibrational transition modes by use of normal forms View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1993-12

AUTHORS

Sergio Abbate, Danila Ghisletti, Antonio Giorgilli, Laure Lespade, Giovanna Longhi

ABSTRACT

In this paper we use the Birkhoff-Gustavson perturbation theory to analyze the vibrational modes of two linearly coupled Morse oscillators in the transition region from normal modes to local modes. Our study is based on: truncation of the Hamiltonian written in normal mode coordinates at the 4th order, transformation to normal form and analytical study; construction and use of the approximate integrals of motion of the exact Hamiltonian according to Birkhoff and Gustavson theory. By comparison with a previous analytical study, we demonstrate that perturbation theory, based either on local or normal modes can be used to accurately describe transition modes. More... »

PAGES

215-232

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01112934

DOI

http://dx.doi.org/10.1007/bf01112934

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1026452642


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