Fast instability indicator in few dimensional dynamical systems

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dc.creatorCipriani, Piero
dc.creatorDi Bari, Maria Teresa
dc.date2001-08-07
dc.date.accessioned2026-07-07T05:33:38Z
dc.date.available2026-07-07T05:33:38Z
dc.descriptionUsing the tools of Differential Geometry, we define a new <<fast>> chaoticity indicator, able to detect dynamical instability of trajectories much more effectively, (i.e. "quickly") than the usual tools, like Lyapunov Characteristic Numbers (LCN's) or Poincare` Surface of Section. Moreover, at variance with other "fast" indicators proposed in the Literature, it gives informations about the asymptotic behaviour of trajectories, though being local in phase-space. Furthermore, it detects the chaotic or regular nature of geodesics without any reference to a given perturbation and it allows also to discriminate between different regimes (and possibly sources) of chaos in distinct regions of phase-space.
dc.description5 pages with EPS figures embedded. Short Version, to appear in the Proceedings of the 9th Marcel Grossmann Meeting. (World Scientific). E-mail: piero.cipriani@roma1.infn.it
dc.identifierhttps://arxiv.org/abs/nlin/0108008
dc.identifierhttp://arxiv.org/abs/nlin/0108008
dc.identifierProcs. of the IX Marcel Grossmann Meeting, World Scientific p.897 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80069
dc.subjectChaotic Dynamics
dc.subjectAstrophysics
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectComputational Physics
dc.titleFast instability indicator in few dimensional dynamical systems
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