GENERALIZED GEOGRAPHICAL FAMILY AND THE STABILITY OF LIMIT-CYCLES

[摘要] This paper gives the concept of a generalized geographical family and presents a method of constructing this kind of geographical family around a closed orbit for a planar differential system. Several sufficient conditions or sufficient and necessary conditions are given for the criterion of the stability of limit cycles using this kind of geographical family. Prior famous classical results are included or generalized. (C) 1994 Academic Press, Inc.

[发布日期] 1994-07-01