| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1896870 | Chaos, Solitons & Fractals | 2006 | 9 Pages |
Abstract
The origin of complex structures, randomness, and irreversibility are analyzed in the scale free SL(2, R ) analysis, which is an extension of the ordinary analysis based on the recently uncovered scale free C2n-1C2n-1 solutions to linear ordinary differential equations. The role of an intelligent decision making is discussed. We offer an explanation of the recently observed universal renormalization group dynamics at the edge of chaos in logistic maps. The present formalism is also applied to give a first principle explanation of 1/f noise in electrical circuits and solid state devices. Its relevance to heavy tailed (hyperbolic) distributions is pointed out.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Dhurjati Prasad Datta, Santanu Raut,