On periodic solutions of the system \(\dot x = y - F(x),\dot y = - g(x)\)

DOI10.1016/0022-0396(71)90050-7zbMath0222.34045OpenAlexW2055702915MaRDI QIDQ2547659

Nelson Wax, Peter J. Ponzo

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0022-0396(71)90050-7

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items

On the qualitative behaviour of solutions of Liénard equation, On the Center of the Generalized Liénard System, Unnamed Item, Oscillation theorems for the generalized Liénard system, Periodic solutions of Lienard's equation, Bifurcations of Critical Periods for a Class of Quintic Liénard Equation, Intersection with the vertical isocline in the Liénard plane, Remarks on a class of generalized Liénard planar systems, Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane, An effective method of counting the number of limit cycles, The global centre for the Liénard system, Existence and stability of periodic solutions of \(\ddot y-\mu F(\dot y) +y=0\)., Non-existence of periodic solutions of the Liénard system

Cites Work

• On the limit cycles of \(\ddot x+\mu\sin\dot x+x = 0\)
• For all real \(\mu\), \(\ddot x +\mu \sin\dot x+x = 0\) has an infinite number of limit cycles
• On the limit cycles of \(y+\mu F(y')+y = 0\)