On the dynamics of a time-periodic equation
| dc.creator | Wang, Qiudong | |
| dc.date | 2008-02-28 | |
| dc.date.accessioned | 2026-07-07T09:23:48Z | |
| dc.date.available | 2026-07-07T09:23:48Z | |
| dc.description | In this paper we use the second order equation $\frac{d^2 q}{dt^2} + (λ- γq^2) \frac{d q}{dt} - q + q^3 = μq^2 \sin ωt$ as a demonstrative example to illustrate how to apply the analysis of \cite{WO} and \cite{WOk} to the studies of concrete equations. We prove, among many other things, that there are positive measure sets of parameters $(λ, γ, μ, ω)$ corresponding to the case of intersected and the case of separated stable and unstable manifold of the solution $q(t) = 0$, $t \in \mathbb R$ respectively, so that the corresponding equations admit strange attractors with SRB measures. | |
| dc.identifier | https://arxiv.org/abs/0802.4281 | |
| dc.identifier | http://arxiv.org/abs/0802.4281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155870 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | On the dynamics of a time-periodic equation | |
| dc.type | text |