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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0210053 (nlin)
[Submitted on 23 Oct 2002]

Title:Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems

Authors:Ch. Skokos, Ch. Antonopoulos, T. C. Bountis, M. N. Vrahatis
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Abstract: We apply the smaller alignment index (SALI) method for distinguishing between ordered and chaotic motion in some simple conservative dynamical systems. In particular we compute the SALI for ordered and chaotic orbits in a 2D and a 4D symplectic map, as well as a two--degree of freedom Hamiltonian system due to Hénon & Heiles. In all cases, the SALI determines correctly the nature of the tested orbit, faster than the method of the computation of the maximal Lyapunov characteristic number. The computation of the SALI for a sample of initial conditions allows us to clearly distinguish between regions in phase space where ordered or chaotic motion occurs.
Comments: 9 pages, 5 figures, to appear in "Proceedings of International Conference on Libration Point Orbits and Applications" Aiguablava, Spain, June 2002
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0210053 [nlin.CD]
  (or arXiv:nlin/0210053v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0210053

Submission history

From: Skokos Charalampos [view email]
[v1] Wed, 23 Oct 2002 10:53:19 UTC (181 KB)
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