ON LIMIT CYCLES OF PLANE QUADRATIC SYSTEMS
摘要
This paper gives new conditions of limit-cycles existence for plane quadratic systems (Theorems1 and 2) with global observation. Thus, in the parametric space of dimension 12 consisting of thecoefficients of quadratic systems, we find such a manifold of dimension 12 (Theorem 5) and amanifold of dimension 11 (Theorem 6) that the corresponding plane quadratic systems have at leastfour limit cycles. It is pointed out that the sign of the third Liapunov constant in [1] is made awrong calculation. The right result is V_7 = λ_2λ_4(λ_3 - λ_6)~2(λ_2~2 - λ_3λ_6 + 2λ_6~2),which affects the existence of one limit cycle.
引用本文（GB/T 7714）
Ongling Graduate. ON LIMIT CYCLES OF PLANE QUADRATIC SYSTEMS[J]. 未知来源, 1981.
引文网络
本站仅收录题录与摘要供学习参考，全文版权归属出版方；如有侵权请联系我们删除。