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| ON THE LIMIT CYCLES OF PLANAR AUTONOMOUS SYSTEMS |
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Citation： |
HAN Maoan,QIAN Difei.ON THE LIMIT CYCLES OF PLANAR AUTONOMOUS SYSTEMS[J].Chinese Annals of Mathematics B,2001,22(3):297~306 |
| Page view： 1178
Net amount： 656 |
Authors： |
HAN Maoan; QIAN Difei |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 19531070) and
ShuGuang Plan. |
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| Abstract： |
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. |
Keywords： |
Limit cycle, Planar autonomous system, Existence. |
Classification： |
34C05 |
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