Abstract
Abstract
This article presents a new version of transient behaviour occurring around the remnants of normally hyperbolic invariant manifolds (NHIMs) when they are already in the process of decay. If in such a situation a chaotic region of the NHIM is in the process of decay, then typical trajectories starting in this chaotic region remain in this region for a finite time only and will leave the neighbourhood of the NHIM in the long run in tangential direction. Therefore this chaotic region has a transient existence only as remainder of the NHIM. Numerical examples of this phenomenon are presented for a three degrees of freedom (3-dof) model for the motion of a test particle in the gravitational field of a rotating barred galaxy.
Subject
Artificial Intelligence,Computer Networks and Communications,Computer Science Applications,Information Systems
Cited by
3 articles.
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