Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Non-Integrability and Infinite Branching of Solutions of 2DOF Hamiltonian Systems in Complex Plane of Time
It has been proved by S.L.Ziglin [1], for a large class of 2-degree-of-freedom (d.o.f) Hamiltonian systems, that transverse intersections of the invariant manifolds of saddle fixed points imply infinite branching of solutions in the complex time plane and the non–existence of a second analytic integral of the motion. Here, we review in detail our recent results, following a similar approach to ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1988
ISSN: 0022-0396
DOI: 10.1016/0022-0396(88)90065-4