Sensitivity to initial conditions in coherent noise models

TL;DR

This paper investigates how small differences in initial states affect the evolution of coherent noise models in biological systems, revealing power-law sensitivity and calculating relevant exponents.

Contribution

It introduces a damage spreading approach to quantify initial condition sensitivity and determines key exponents for the coherent noise model.

Findings

Power-law sensitivity to initial conditions observed.

Calculated exponents $lpha$ and $z$ characterize the dynamics.

Data collapse confirms the scaling behavior.

Abstract

Sensitivity to initial conditions in the coherent noise model of biological evolution, introduced by Newman, is studied by making use of damage spreading technique. A power-law behavior has been observed, the associated exponent $\alpha$ and the dynamical exponent $z$ are calculated. Using these values a clear data collapse has been obtained.