English

Stability ordering of cycle expansions

chao-dyn 2009-10-28 v1 Chaotic Dynamics

Abstract

We propose that cycle expansions be ordered with respect to stability rather than orbit length for many chaotic systems, particularly those exhibiting crises. This is illustrated with the strong field Lorentz gas, where we obtain significant improvements over traditional approaches.

Keywords

Cite

@article{arxiv.chao-dyn/9612009,
  title  = {Stability ordering of cycle expansions},
  author = {C. P. Dettmann and G. P. Morriss},
  journal= {arXiv preprint arXiv:chao-dyn/9612009},
  year   = {2009}
}

Comments

Revtex, 5 incorporated figures, total size 200k

R2 v1 2026-07-22T09:55:29.993Z