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Oscillation, Rotatability, and Wandering Characteristic Indicators for Differential Systems Determining Rotations of Plane
Moscow University Mathematics Bulletin Pub Date : 2019-04-24 , DOI: 10.3103/s0027132219010042
I. N. Sergeev

The oscillation, rotatability, and wandering characteristic indicators of Lyapunov type are studied for two-dimensional linear homogeneous differential systems determining rotations of the phase plane. A complete set of order relations between them is obtained. For each of those indicators it is established whether it is continuous or discontinuous as a function of the coefficients of the system.

中文翻译:

确定平面旋转的微分系统的振荡,旋转性和漂移特征指标

研究了确定相平面旋转的二维线性齐次微分系统的Lyapunov型振动,可旋转性和漂移特性指标。获得它们之间的完整的顺序关系集。对于那些指标中的每一个,根据系统系数确定其是连续的还是不连续的。
更新日期:2019-04-24
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