One-dimensional quaternion homogeneous polynomial differential equations
One-dimensional quaternion homogeneous polynomial differential equations
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DOI:
10.1063/1.3139115
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发表时间:
2009-08
影响因子:
1.3
通讯作者:
A. Gasull;J. Llibre;Xiang Zhang
中科院分区:
文献类型:
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作者:
A. Gasull;J. Llibre;Xiang Zhang
In this paper we study the dynamics of real four-dimensional polynomial differential equations of the forms q=aqkq¯m or q=qkaqm, 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.