In　this　paper,　we　discuss　the　existence　of　solutions　for　networks　of　nonlinear　parametrically　forced　oscillators.　We　deals　with　one　type　of　nonlinear　coupled　system　from　the　studing　of　the　honeycomb　sandwich　plate.　Based　on　the　Implicit　Funtion　Theoerm,　the　periodic　orbit　of　the　coupled　system　are　derived　by　the　hyperbolicity　condition.　The　method　of　Poincare　map　is　utilized　to　obtain　solutions　from　the　uncoupled　case　persist　for　small　coupling.　These　results　show　that　under　certain　conditions　the　stability　of　the　solutions　for　the　nonlinear　coupled　dynamical　system　are　found.　©　2011　IEEE.