SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅱ)—SMALE HORSESHOES

2000MathematicsSubjectClassification:35Q Introduction ContinueRef.[1],inthispart,weapplythegeneralizedConley Moserconditions[2]toshowtheexistenceofSmalehorseshoesinbelowthediscreteNLSsystems(1).Considerthefollowingn particle(any2相似文献   

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Sommario Presentiamo un metodo per la costruzione di espansioni analitiche, adatte a descrivere le curve invarianti di librazione nel caso della standard map generalizzata. Dopo aver effettuato alcuni cambiamenti preliminari di variabili, calcoliamo la forma normale di Birkhoff ad un ordine fissato. Il sistema risultante descrive curve invarianti attorno ad orbite periodiche. Studiamo la stabilità di tali curve di librazione tramite un metodo numerico sviluppato da J. Greene.

     

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