Hierarchical Gompertzian growth maps with application in astrophysics
Adaptation and Self-Organizing Systems
2010-12-23 v1 Instrumentation and Methods for Astrophysics
Abstract
The Gompertz model describes the growth in time of the size of significant quantities associated to a large number of systems, taking into account nonlinearity features by a linear equation satisfied by a nonlinear function of the size. Following this scheme, we introduce a class of hierarchical maps which describe discrete sequences of intermediate characteristic scales. We find the general solutions of the maps, which account for a rich set of possible phenomena. Eventually, we provide an important application, by showing that a map belonging to the class so introduced generates all the observed astrophysical length and mass scales.
Keywords
Cite
@article{arxiv.1012.4975,
title = {Hierarchical Gompertzian growth maps with application in astrophysics},
author = {S. De Martino and S. De Siena},
journal= {arXiv preprint arXiv:1012.4975},
year = {2010}
}