In this paper we study a class of differential equations that arises in the study of indirectly- or capacitively-coupled oscillators. We prove that the invariant tori which exist in the uncoupled system persist under coupling, we establish the asymptotic behavior of the flow in a neighborhood of these tori, and we study the flow on the invariant tori.
|Original language||English (US)|
|Number of pages||38|
|Journal||Differential and Integral Equations|
|State||Published - Mar 1991|