Nonlinear oscillations of fixed period

DOI10.1016/0022-247X(63)90053-2zbMath0116.06901OpenAlexW2025321561MaRDI QIDQ2625724

Stephen S. Shatz, Jacob J. Levin

Publication date: 1963

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(63)90053-2

zbMATH Keywords

ordinary differential equations

Related Items (9)

A characterization of isochronous centres in terms of symmetries. ⋮ Spectral Analysis of Classical Central Force Motion ⋮ On the periodic oscillations of \(\ddot x=g(x)\) ⋮ From isochronous potentials to isochronous systems ⋮ Analytical theory of nonlinear oscillations. VII: The periods of the periodic solutions of the equation \(\ddot x+g(x)=0\) ⋮ Analytical theory of non-linear oscillations. VIII: Second order conservative systems whose solutions are all oscillating with the least period \(2\pi\) ⋮ Isochronicity for several classes of Hamiltonian systems ⋮ On period functions of Liénard systems ⋮ Nonexistence of isochronous centers in planar polynomial Hamiltonian systems of degree four

Cites Work

• Periodic solutions of 𝑥”+𝑐𝑥’+𝑔(𝑥)=𝜖𝑓(𝑡)
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