Fractal Transition Steps to Fractal Stages: The Dynamics of Evolution, II

Abstract

Successful applications of hierarchical complexity to the behaviors of organisms, animals and humans, and social entities evidence the scaling properties of self-similarity, thus the bounded fractal characteristics of orders of hierarchical complexity. The theory specifies an identical sequence of discrete-state transition steps required from each stage of performance to the next. It repeats at all scales. Tasks nested within the step sequence evidence self-similarity with the orders of complexity. This model introduces questions about noise categories when system tasks are fully accounted for, dependent, self-similar, and measurable. Ubiquitous transition steps are inherent dynamics of evolution.

KEYWORDS:

• Dynamics
• evolution
• fractal
• hierarchical complexity
• nonlinear
• noise
• scaling
• self-similar
• stage
• transition steps

Notes

1. For non-language examples of the stages discussed here, and for higher stage examples of nonarbitrary coordinations, see other articles in this special issue.

2. See the transition step table in “Introduction to the Model of Hierarchical Complexity,” this issue.