Cubic Liénard equations with quadratic damping. II. (English) Zbl 1034.34035
Applying Hopf bifurcation theory, the authors show that generic cubic Liénard equations with quadratic damping have at most three limit cycles. They give sufficient conditions for such systems to have at most two and three limit cycles. Using numerical simulation, they present also two examples of systems with two and three limit cycles.
For part I see ibid. 16, 45–52 (2000; Zbl 0956.34020).
For part I see ibid. 16, 45–52 (2000; Zbl 0956.34020).
Reviewer: Valery A. Gaiko (Minsk)
MSC:
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 34C23 | Bifurcation theory for ordinary differential equations |
Citations:
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