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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… Click to show full 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.
Keywords:
theory quaternion;
differential equations;
quaternion valued;
valued differential;
floquet theory
Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2019
Link to full text (if available)
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Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2019
Link to full text (if available)
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recommendations!