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Normally hyperbolic invariant manifolds Melnikov integral

On M-y there are locally stable and unstable manifolds that are of equal dimensions and are close to the impertm-bed locally stable and unstable manifolds. The perturbed normally hyperbolic locally invariant manifold intersects each of the 5D level energy sm-faces in a 3D set of which most of the two-parameter family of 2D nonresonant invariant tori persist by the KAM theorem. The Melnikov integral may be computed to determine if the stable and unstable manifolds of the KAM tori intersect transversely. [Pg.81]

See also in sourсe #XX -- [ Pg.340 , Pg.358 , Pg.359 , Pg.360 , Pg.361 , Pg.362 , Pg.363 , Pg.364 , Pg.365 , Pg.366 , Pg.367 , Pg.368 , Pg.369 , Pg.370 ]

See also in sourсe #XX -- [ Pg.340 , Pg.358 , Pg.359 , Pg.360 , Pg.361 , Pg.362 , Pg.363 , Pg.364 , Pg.365 , Pg.366 , Pg.367 , Pg.368 , Pg.369 , Pg.370 ]



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