一类三次系统的正规形和无环性

NORMAL FORM AND NONEXISTENCE OF LIMIT CYCLE OF A CLASS OF CUBIC SYSTEM

    摘要
  • 摘要: 研究了具有次数不超过3的多项式倒积分因子的三次平面微分系统，给出了这类系统的正规形并证明了这类系统不存在极限环.

     

    Abstract: A planar cubic differential system with an inverse integrating factor, whose degree is no large than 3, is investigated. The normal form of this system is given and it is proved that this system has no limit cycles.

     

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