ON THE STRUCTURE OF SYMPLECTIC DIFFEOMORPHISM IN THE NEIGHBORHOOD OF A HOMOCLINIC ORBIT TO 1-ELLIPTIC POINT |
| 3 | |
| 2013 |
| MATHEMATICS |
| scientific article | 517.938 | ||
| 165-171 | symplectic diffeomorphism, 1-elliptic fixed point, invariant KAM curve, homoclinic orbit, center manifold, scattering mapping, normal form |
| A symplectic diffeomorphism on a 4-dimensional symplectic manifold having 1-elliptic fixed point and a homoclinic orbit to it is considered. Genericity conditions are formulated under which in a sufficiently small neighborhood of the homoclinic orbit there exist 4 transverse homoclinic orbits to each invariant KAM curve on the center manifold of the fixed point. |
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