球极投影共轭微分系统
Stereographically conjugate differential systems
摘要：
给出了球面上二阶自治微分系统轨线行为的拓扑基础。建立了轨迹的赤平极射图谱。建立了极射共轭微分系统轨线之间的微分联系。研究了相平面上无穷远点邻域内轨迹的行为。给出了立体共轭微分系统轨线全局定性研究的实例。
英文摘要：
Topological bases of behaviour of trajectories for autonomous differential systems of the second order on sphere are stated. Stereographic atlas of trajectories is constructed. Differential connections between trajectories of stereographically conjugate differential systems are established. The behaviour of trajectories in an neighbourhood of infinitely remote point of the phase plane is investigated. Examples of global qualitative research of trajectories of stereographically conjugate differential systems are given.
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