On the center conditions of certain cubic systems

DOI10.1090/S0002-9939-98-04715-7zbMath0903.34026OpenAlexW2104856235MaRDI QIDQ4210589

M. A. M. Alwash

Publication date: 22 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04715-7

zbMATH Keywords

periodic solutionscenter conditionsplanar cubic systems

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) Bifurcation theory for ordinary differential equations (34C23)

Related Items (14)

Homogeneous-like generalized cubic systems ⋮ Exact number of limit cycles for a family of rigid systems ⋮ On the composition center for a class of rigid system ⋮ Sufficient and necessary center conditions for the Poincaré systems \(P(2, 2n) (n \leq 5)\) ⋮ Center conditions for a class of planar rigid polynomial differential systems ⋮ RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS ⋮ Limit cycles for rigid cubic systems ⋮ Poincaré's reversibility condition ⋮ Center conditions at infinity for Abel differential equations ⋮ On the center-focus problem for a family of high-order polynomial differential systems ⋮ Uniformly isochronous quartic systems ⋮ The composition conjecture for Abel equation ⋮ Unnamed Item ⋮ Fractional Lorentz-Dirac model and its dynamical behaviors

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