Jump to content

Monodromy matrix

From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by David Eppstein (talk | contribs) at 08:31, 23 November 2014 (References: +another source that gives essentially the same def as the one already here). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematics, and particularly ordinary differential equations, a monodromy matrix is the inverse of the fundamental matrix of a system of ODEs evaluated at the period of the coefficients of the system. It is used for the analysis of periodic solutions of ODEs in Floquet theory.

See also

References

  • Grass, Dieter; Caulkins, Jonathan P.; Feichtinger, Gustav; Tragler, Gernot; Behrens, Doris A. (2008). Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption, and Terror. Springer. p. 82. ISBN 9783540776475.
  • Teschl, Gerald. Ordinary Differential Equations and Dynamical Systems. Providence: American Mathematical Society.