Monodromy matrix

Short description: Matrix used to study systems of ordinary differential equations

In mathematics, and particularly ordinary differential equations (ODEs), a monodromy matrix is 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. https://books.google.com/books?id=M7qGPmzrVAkC&pg=PA82. 
• Teschl, Gerald. Providence: American Mathematical Society. https://www.mat.univie.ac.at/~gerald/ftp/book-ode/.