Function Dynamics
Abstract
We show mathematical structure of the function dynamics, i.e., the dynamics of interval maps $f_{n+1} = (1-\e)f_n + \e f_n\circ f_n$ and clarify the types of fixed points, the self-referential structure and the hierarchical structure.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2001
- DOI:
- 10.48550/arXiv.nlin/0107026
- arXiv:
- arXiv:nlin/0107026
- Bibcode:
- 2001nlin......7026T
- Keywords:
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- Adaptation and Self-Organizing Systems
- E-Print:
- 16 pages, 14 figures