The authors investigate the global properties of general autonomous systems on the plane and establish criteria for the nonexistence, existence and uniqueness of limit cycles. As application examples, the limit cycles...The authors investigate the global properties of general autonomous systems on the plane and establish criteria for the nonexistence, existence and uniqueness of limit cycles. As application examples, the limit cycles for some polynomial systems are studied.展开更多
The purpose of this paper is to give some necessary and sufficient conditionsfor the non intersection of trajectories of the planar autonomous system=P(x,y), =Q(x,y) (E) with the vertical isocline, and to present ...The purpose of this paper is to give some necessary and sufficient conditionsfor the non intersection of trajectories of the planar autonomous system=P(x,y), =Q(x,y) (E) with the vertical isocline, and to present some results which guarantee the nonexistence and the existence of limit cycles of (E). our results extend and improve the corresponding ones in are extended and improved.展开更多
基金the National Natural Science Foundation of China (No. 19531070) andShuGuang Plan.
文摘The authors investigate the global properties of general autonomous systems on the plane and establish criteria for the nonexistence, existence and uniqueness of limit cycles. As application examples, the limit cycles for some polynomial systems are studied.
文摘The purpose of this paper is to give some necessary and sufficient conditionsfor the non intersection of trajectories of the planar autonomous system=P(x,y), =Q(x,y) (E) with the vertical isocline, and to present some results which guarantee the nonexistence and the existence of limit cycles of (E). our results extend and improve the corresponding ones in are extended and improved.
