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On the Floquet Exponents of Hill's Equation Systems
Author(s) -
Denk Robert
Publication year - 1995
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19951720107
Subject(s) - floquet theory , mathematics , dimension (graph theory) , matrix (chemical analysis) , mathematical analysis , mathematical physics , pure mathematics , quantum mechanics , physics , nonlinear system , materials science , composite material
For the k × k ‐matrix‐valued version of Hill's equation it is shown that the dimension of the matrix needed to compute the Floquet exponents can be reduced from 2k to k . Also the existence of periodic solutions is equivalent to the non‐invertibility of certain k × k ‐matrices.
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