English

Function Dynamics

Adaptation and Self-Organizing Systems 2007-05-23 v1

Abstract

We show mathematical structure of the function dynamics, i.e., the dynamics of interval maps fn+1=(1\e)fn+\efnfnf_{n+1} = (1-\e)f_n + \e f_n\circ f_n and clarify the types of fixed points, the self-referential structure and the hierarchical structure.

Cite

@article{arxiv.nlin/0107026,
  title  = {Function Dynamics},
  author = {Y. Takahashi and N. Kataoka and K. Kaneko and T. Namiki},
  journal= {arXiv preprint arXiv:nlin/0107026},
  year   = {2007}
}

Comments

16 pages, 14 figures