The critical points of the period function of x″−x2(x−α)(x−1)=0 (0⩽α<1)

DOI10.1016/0362-546X(87)90082-4zbMath0641.34029OpenAlexW2048959412MaRDI QIDQ3782065

Duo Wang

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90082-4

zbMATH Keywords

critical pointsanalyticityPicard-Fuchs equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items

Finiteness for critical periods of planar analytic vector fields, The period function of potential systems of polynomials with real zeros, A NOTE ON THE CRITICAL PERIODS OF POTENTIAL SYSTEMS, The period functions' higher order derivatives, Properties of the period function for some Hamiltonian systems and homogeneous solutions of a semilinear elliptic equation, The monotonicity and critical periods of periodic waves of the \(\varphi^{6}\) field model, The period function for quadratic integrable systems with cubic orbits, The monotonicity of period function for the codimension four quadratic system \(Q_4\).

Cites Work

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• Generic properties of stationary state solutions of reaction-diffusion equations
• Abelian integrals and bifurcation theory
• On the number of critical points of the period
• Analytical theory of nonlinear oscillations. VII: The periods of the periodic solutions of the equation \(\ddot x+g(x)=0\)
• Periodic solutions of 𝑥”+𝑐𝑥’+𝑔(𝑥)=𝜖𝑓(𝑡)
• Sur les périodes des solutions de l'équation différentielle x + g(x) = 0
• Global behaviour of solution branches for some Neumann problems depending on one or several parameters.