Nonresonant Bifurcations with Symmetry

DOI10.1137/0518045zbMath0624.34026OpenAlexW2089795192MaRDI QIDQ3762650

Jan A. Sanders, Jack Carr, Stephan A. van Gils

Publication date: 1987

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0518045

zbMATH Keywords

limit cycleperturbationsabelian integralsplanar vectorfieldsnonresonant oscillators

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) Averaging method for ordinary differential equations (34C29)

Related Items (4)

Uniqueness of periodic orbits of some vector fields with codimension two singularities ⋮ Computation of universal unfolding of the double-zero bifurcation in -symmetric systems by a homological method ⋮ Bifurcations of mode equations: Spin waves ⋮ Computation of universal unfolding of the double zero bifurcation in theZ₂-symmetric system

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