• search hit 21 of 282
Back to Result List

The 'Ermakov-Lewis' invariants for Coupled Linear Oscillators

  • We consider N coupled linear oscillators with time-dependent coecients. An exact complex amplitude - real phase decomposition of the oscillatory motion is constructed. This decomposition is further used to derive N exact constants of motion which generalise the so-called Ermakov-Lewis invariant of a single oscillator. In the Floquet problem of periodic oscillator coecients we discuss the existence of periodic complex amplitude functions in terms of existing Floquet solutions.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Author:Karl-Erik Thylwe, Hans Jürgen Korsch
URN (permanent link):urn:nbn:de:hbz:386-kluedo-8400
Document Type:Article
Language of publication:English
Year of Completion:1998
Year of Publication:1998
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Faculties / Organisational entities:Fachbereich Physik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 530 Physik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011