Elliptic integrals and limit cycles

DOI10.1017/S0004972700015641zbMath0786.34034MaRDI QIDQ4276503

Mario León de la Barra, Moisés Cañas, Ana María Urbina, Guillermo León de la Barra

Publication date: 31 January 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

zeros of elliptic integralsupper bound for the number of limit cycles

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (2)

An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions ⋮ Uniform approximations of the first symmetric elliptic integral in terms of elementary functions

Cites Work

• Bifurcation of limit cycles from quadratic isochrones
• Number of zeros of complete elliptic integrals
• Estimate of the number of zeros of an Abelian integral depending on a parameter and limit cycles
• Elliptic integrals and their nonoscillation
• Zeroes of complete elliptic integrals for 1:2 resonance
• Complex zeros of an elliptic integral

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