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# 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

Riemannâ€“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.

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

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