Mathematical bios
Abstract
In this paper we report on a mathematical pattern that we call bios, and its generation by recursions of bipolar feedback. Bios is a newly found form of organization, that resembles chaos in its aperiodic pattern and its extreme sensitivity to initial conditions, but has additional properties (diversification, novelty, nonrandom complexity, life‐limited patterning, 1/f power spectrum) found in natural creative processes, and absent in chaos. The process equation At+1=At+gtsin(At) generates convergence to π, a cascade of bifurcations, chaos, bios and infinitation, as the value of the feedback gain gt increases. In the complex plane, series generated by orthogonal process equations display fractal organic patterns.
Keywords
Citation
Kauffman, L. and Sabelli, H. (2002), "Mathematical bios", Kybernetes, Vol. 31 No. 9/10, pp. 1418-1428. https://doi.org/10.1108/03684920210443626
Publisher
:MCB UP Ltd
Copyright © 2002, MCB UP Limited