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Global bifurcations in a perturbed cubic system withZ2-symmetry

✍ Scribed by Jibin Li; Yiping Lin


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1992
Tongue
English
Weight
571 KB
Volume
8
Category
Article
ISSN
0168-9673

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We construct a canonical cubic dynamical system of Kukles type and carry out the global qualitative analysis of its special case corresponding to a generalized LiΓ©nard equation. In particular, we prove that the foci of such a LiΓ©nard system can be at most of second order, and that this particular sy