engleski

Link between truncated fractals and coupled oscillators in biological systems

This article aims at providing a new theoretical insight into the fundamental question of the origin of truncated fractals in biological systems.The biological fractals are truncated, i.e., their self similarity extends over a few orders of magnitude of separation. We show that nonlinear coupled oscillators, modeling one of the basic features of biological systems, may generate truncated fractals: a truncated fractal pattern for basin boundaries appears in a simple mathematical model of two coupled nonlinear oscillators with weak dissipation. This fractal pattern can be considered as a particular hidden fractal property. At the level of sufficiently fine precision technique the truncated fractality acts as a simple structure, leading to predictability, but at a lower precision it is effectively fractal, limiting the predictability of the long-term behavior of biological systems. We point out to the generic nature of our result and to its possible consequences on the treatment of biological systems and on efficacy of diagnostic and therapeutical treatment in clinical medical practice.

truncated fractals; coupled oscillator

nije evidentirano