Periodic orbits from second order perturbation via rational trigonometric integrals

DOI10.1016/j.physd.2014.05.002zbMath1349.34229OpenAlexW2047805905MaRDI QIDQ2832913

Rafel Prohens, Joan Torregrosa

Publication date: 15 November 2016

Published in: Physica D: Nonlinear Phenomena (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150713

zbMATH Keywords

periodic orbitspolynomial differential equationsecond order perturbationssimultaneous bifurcationfirst order perturbations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Periodic orbits of vector fields and flows (37C27) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (5)

Limit cycles in planar piecewise linear differential systems with nonregular separation line ⋮ New lower bound for the Hilbert number in piecewise quadratic differential systems ⋮ First-order perturbation for multi-parameter center families ⋮ A new Chebyshev criterion and its application to planar differential systems ⋮ Limit cycles for 3-monomial differential equations

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