Analytical theory of non-linear oscillations. VIII: Second order conservative systems whose solutions are all oscillating with the least period \(2\pi\)

DOI10.1007/BF02417898zbMath0391.34018OpenAlexW2772427049MaRDI QIDQ1251329

Chike Obi

Publication date: 1978

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02417898

zbMATH Keywords

Analytical Theory of Non-Linear OscillationsFourier CoefficientsOscillation ConditionsSecond Order Conservative Systems

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Nonlinear dynamics in mechanics (70K99)

Related Items (3)

Analytical theory of non-linear oscillations. IX: Limit oscillations and unbounded solutions of equations of the second order ⋮ On the periodic oscillations of \(\ddot x=g(x)\) ⋮ A system of order 2 in which small sub-harmonics and large sub-harmonics coexist

Cites Work

• Analytical theory of nonlinear oscillations. VII: The periods of the periodic solutions of the equation \(\ddot x+g(x)=0\)
• Nonlinear oscillations of fixed period
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