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
Bifurcation of limit cycles and separatrix loops in singular Lienard systems
β Scribed by Maoan Han; Ping Bi; Dongmei Xiao
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 440 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0960-0779
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π SIMILAR VOLUMES
In this paper a class of quadratic systems is studied. By quadratic systems we mean autonomous quadratic vector fields in the plane. The class under consideration is class \(\mathrm{II}_{n=0}\) in the Chinese classification of quadratic systems. Bifurcation sets \(\delta=\delta^{*}(l, m)(m>2, l>0)\)
Two bifurcation theorema are established concerning the quulitative change in the integral curves of the hard-excitation type nonlinear syatema at a point of bifurcation (or a branch point) where clifferen,t regions meet. Two classes of this type (Type B) are covaidered. The-se exhibit limit cyclea