English

Non-deterministic chaos

chao-dyn 2008-02-03 v1 Chaotic Dynamics

Abstract

Non-deterministic chaos is a form of low-dimensional dynamics which is characterized by the existence of a countable set of {\em sensitive decision points} (SDP's). Away from these points, the dynamics is well-behaved. Near these points, however, perturbations (e.g., thermal noise) may cause the outgoing trajectory to be chosen randomly. An example of a non-deterministic chaotic system is given, and a statistical method of analyzing the resultant dynamics is developed.

Keywords

Cite

@article{arxiv.chao-dyn/9307020,
  title  = {Non-deterministic chaos},
  author = {D. D. Dixon},
  journal= {arXiv preprint arXiv:chao-dyn/9307020},
  year   = {2008}
}

Comments

3 pages, RevTex, one PostScript figure available upon request