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Floquet Theory for Quaternion-valued Differential Equations

Published 26 Feb 2019 in math.CA | (1902.09800v1)

Abstract: This paper describes the Floquet theory for quaternion-valued differential equations (QDEs). The Floquet normal form of fundamental matrix for linear QDEs with periodic coefficients is presented and the stability of quaternionic periodic systems is accordingly studied. As an important application of Floquet theory, we give a discussion on the stability of quaternion-valued Hill's equation. Examples are presented to illustrate the proposed results.

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Authors (3)

  1. Dong Cheng 
  2. Kit Ian Kou 
  3. Yong Hui Xia 

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