Monodromy matrix

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

• Floquet theory
• Monodromy
• Riemann–Hilbert problem

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.