On the limit cycles of \(\ddot x+\mu\sin\dot x+x = 0\)

DOI10.1007/BF00276780zbMath0148.07502MaRDI QIDQ2524722

Harry Hochstadt, B. H. Stephan

Publication date: 1967

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equations

Related Items (11)

Global dynamics of the Josephson equation in \(TS^1\) ⋮ Existence of limit cycles for generalized Liénard equations ⋮ An effective method of counting the number of limit cycles ⋮ Unnamed Item ⋮ On the limit cycles of \(\ddot y- \mu\sin\dot y+y = 0\) ⋮ 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 the limit cycles of \(y+\mu F(y')+y = 0\) ⋮ Notes on the equation \(\ddot y - \mu \sin \dot y + y = 0\) and some variants ⋮ On periodic solutions of the system \(\dot x = y - F(x),\dot y = - g(x)\) ⋮ Existence and stability of periodic solutions of \(\ddot y-\mu F(\dot y) +y=0\).

Cites Work

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