Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities

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dc.creatorChen, Hongbin
dc.creatorLi, Yi
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:54:14Z
dc.date.available2026-07-07T07:54:14Z
dc.descriptionWe study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions. Moreover, when h is within these bounds, one of the three solutions is negative, while the other two are positive. The middle solution is asymptotically stable, and the remaining two are unstable.
dc.descriptionKeywords: Duffing equation; Periodic solution; Stability
dc.identifierhttps://arxiv.org/abs/math/0703818
dc.identifierhttp://arxiv.org/abs/math/0703818
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126527
dc.subjectClassical Analysis and ODEs
dc.subject34C10; 34C25
dc.titleStability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities
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