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Monodromy matrix

Matrix used to study systems of ordinary differential equations From Wikipedia, the free encyclopedia

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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

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.


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