Fast instability indicator in few dimensional dynamical systems
摘要
Using 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.
引用
@article{arxiv.nlin/0108008,
title = {Fast instability indicator in few dimensional dynamical systems},
author = {Piero Cipriani and Maria Teresa Di Bari},
journal= {arXiv preprint arXiv:nlin/0108008},
year = {2007}
}
备注
5 pages with EPS figures embedded. Short Version, to appear in the Proceedings of the 9th Marcel Grossmann Meeting. (World Scientific). E-mail: [email protected]