One-dimensional quaternion homogeneous polynomial differential equations

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In this paper we study the dynamics of real four-dimensional polynomial differential equations of the forms q =a qk q- m or q = qk a qm, where q,a are quaternions, q- is the conjugate of q, and k and m are non-negative integers. In many parts of the work the quaternion structure is used along the proofs. © 2009 American Institute of Physics.
Original languageEnglish
Article number082705
JournalJournal of Mathematical Physics
Publication statusPublished - 9 Sep 2009


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