正二阶快-慢系统中的奇性同宿轨道和极限环(英文)

Singular Homoclinic Orbits and Limit Cycles in Positive Second Order Slow-Fast Systems

中文关键词:  同宿轨道  极限环  奇摄动  慢流形

英文关键词:homoclinic orbit  limit cycle  singular perturbation  slow manifold.

中文摘要:

      本文研究一类正二阶快-慢系统中奇性同宿轨道和极限环,并且给出了此系统存在奇性同宿轨道和极限环的充分条件.

英文摘要:

      In the paper we consider a wide class of slow-fast second order systems and give sufficient conditions for the existence of a singular limit cycle related to a homoclinic orbit.