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On the Second Lyapunov Method for Quaternionic Differential Equations
Qualitative Theory of Dynamical Systems ( IF 1.9 ) Pub Date : 2021-04-20 , DOI: 10.1007/s12346-021-00476-8 Song Huang , Fuli He
中文翻译:
四元数微分方程的第二个Lyapunov方法
更新日期:2021-04-20
Qualitative Theory of Dynamical Systems ( IF 1.9 ) Pub Date : 2021-04-20 , DOI: 10.1007/s12346-021-00476-8 Song Huang , Fuli He
In this paper we mainly study the stability of quaternion-valued differential equations. We first establish the second Lyapunov method over quaternion field and then we use this theory to study the stability in both autonomous systems and periodic non-autonomous systems cases.
中文翻译:
四元数微分方程的第二个Lyapunov方法
本文主要研究四元数微分方程的稳定性。我们首先在四元数域上建立第二个Lyapunov方法,然后使用该理论研究自治系统和周期非自治系统情况下的稳定性。