Computer Assisted Proof of Transverse Saddle-to-Saddle Connecting Orbits for First Order Vector Fields
نویسندگان
چکیده
منابع مشابه
Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields
In this paper we introduce a computational method for proving the existence of generic saddle-to-saddle connections between equilibria of first order vector fields. The first step consists of rigorously computing high order parametrizations of the local stable and unstable manifolds. If the local manifolds intersect, the NewtonKantorovich theorem is applied to validate the existence of a so-cal...
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 2014
ISSN: 1040-7294,1572-9222
DOI: 10.1007/s10884-014-9367-0