Phase splitting for periodic Lie systems

R. Flores-Espinoza*, J. De Lucas, Yu M. Vorobiev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


In the context of the Floquet theory, using a variation of parameter argument, we show that the logarithm of the monodromy of a real periodic Lie system with appropriate properties admits a splitting into two parts called dynamic and geometric phases. The dynamic phase is intrinsic and linked to the Hamiltonian of a periodic linear Euler system on the co-algebra. The geometric phase is represented as a surface integral of the symplectic form of a co-adjoint orbit.

Original languageEnglish
Article number205208
JournalJournal of Physics A: Mathematical and Theoretical
Issue number20
StatePublished - 2010


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