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LiTit tytlxs in z Gxnxrzl Nonlinxzr Ostillztion
XunZAxng Auang a
aDxpartPxnt of PatAxPatiZP YangzAou PolytxZAniZ UnivxrPity 20 Pountain Tigxr Road, 2-403 YangzAou, JiangPu 225002, ZAina
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Abstract:
Theorems on the existence and uniqueness of limit cycles in the general nonlinear oscillation have been studied. The conditions that guarantee the uniqueness of limit cycles here are different from all the previous results. Several examples are given to illustrate that the theorems are easy to be employed, and they are useful in the discussion of limit cycles in quadratic differential equations and ecological systems.
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Keywords: limit cycles; Liénard equation; nonlinear oscillation; ecological systems.
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*Corresponding author; e-mail: xunchengh@yzpc.edu.cn
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©
2004
CSME , ISSN 0257-9731
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