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.

References

| last1 = Grass | first1 = Dieter

| last2 = Caulkins | first2 = Jonathan P.

| last3 = Feichtinger | first3 = Gustav

| last4 = Tragler | first4 = Gernot

| last5 = Behrens | first5 = Doris A.

| isbn = 9783540776475

| page = 82

| publisher = Springer

| title = Optimal Control of Nonlinear Processes: With Applications in Drugs, Corruption, and Terror

| url = https://books.google.com/books?id=M7qGPmzrVAkC&pg=PA82

| year = 2008}}

| surname = Teschl

| given = Gerald

|authorlink=Gerald Teschl | title = Ordinary Differential Equations and Dynamical Systems

| year =

| url = https://www.mat.univie.ac.at/~gerald/ftp/book-ode/}}