正二阶快-慢系统中的奇性同宿轨道和极限环
정이계쾌-만계통중적기성동숙궤도화겁한배
Singular Homoclinic Orbits and Limit Cycles in Positive Second Order Slow-Fast Systems
  • 万方数据
    数学研究与评论 수학연구여평론
    JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
    2004年 1期 49-54 ,共6页

    肖箭%盛立人

    초전%성립인

    同宿轨道%极限环%奇摄动%慢流形 同宿軌道%極限環%奇攝動%慢流形
    동숙궤도%겁한배%기섭동%만류형
    homoclinic orbit%limit cycle%singular perturbation%slow manifold
    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.
    본문연구일류정이계쾌-만계통중기성동숙궤도화겁한배,병차급출료차계통존재기성동숙궤도화겁한배적충분조건.
    In the paper we consider a wide class of slow-fa.st second order systems and give sufficient conditions for the existence of a singular limit cycle related to a homoclinic orbit.
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