Analytical theory of nonlinear oscillations. VII: The periods of the periodic solutions of the equation \(\ddot x+g(x)=0\)
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Publication:1238929
DOI10.1016/0022-247X(76)90161-XzbMath0359.34038OpenAlexW1991470760MaRDI QIDQ1238929
Publication date: 1976
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(76)90161-x
Periodic solutions to ordinary differential equations (34C25) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)
Related Items (10)
The monotonicity of the period function for planar Hamiltonian vector fields ⋮ Rational Liénard systems with a center and an isochronous center ⋮ The critical points of the period function of x″−x2(x−α)(x−1)=0 (0⩽α<1) ⋮ On the periodic oscillations of \(\ddot x=g(x)\) ⋮ A permutation related to the dynamics of a scalar parabolic PDE ⋮ Geometric methods for two-point nonlinear boundary value problems ⋮ Analytical theory of non-linear oscillations. VIII: Second order conservative systems whose solutions are all oscillating with the least period \(2\pi\) ⋮ Bifurcation near degenerate families ⋮ On period functions of Liénard systems ⋮ Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems.
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