On the limit cycles of \(y+\mu F(y')+y = 0\)

DOI10.1016/0022-0396(70)90043-4zbMath0195.10005OpenAlexW2031674688MaRDI QIDQ2539090

Craig Comstock

Publication date: 1970

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(70)90043-4

zbMATH Keywords

ordinary differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (6)

On the existence of limit cycles of Liénard equation ⋮ An effective method of counting the number of limit cycles ⋮ Unnamed Item ⋮ On periodic solutions of the system \(\dot x = y - F(x),\dot y = - g(x)\) ⋮ Existence and stability of periodic solutions of \(\ddot y-\mu F(\dot y) +y=0\). ⋮ Limit cycles and center-focus of nonlinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• On the limit cycles of \(\ddot x+\mu\sin\dot x+x = 0\)
• On the limit cycles of \(\ddot y- \mu\sin\dot y+y = 0\)
• For all real \(\mu\), \(\ddot x +\mu \sin\dot x+x = 0\) has an infinite number of limit cycles
• On Certain Relaxation Oscillations: Asymptotic Solutions

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