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Cubic Liénard equations with quadratic damping. II. - MaRDI portal

Cubic Liénard equations with quadratic damping. II. (Q1611086)

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scientific article; zbMATH DE number 1784816
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Cubic Liénard equations with quadratic damping. II.
scientific article; zbMATH DE number 1784816

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    Cubic Liénard equations with quadratic damping. II. (English)
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    15 September 2002
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    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).
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    cubic Liénard equation
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    limit cycle
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    Hopf bifurcation
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