Stochastic versus Chaotic Dynamics for Genetic Model - Revisited

Citation

Kleczkowski A (1993) Stochastic versus Chaotic Dynamics for Genetic Model - Revisited. Acta Physica Polonica B, 24 (9), pp. 1445-1473. http://www.actaphys.uj.edu.pl/_old/vol24/abs/v24p1445.htm

Abstract
The stroboscopic maps technique is applied to a model of the dynamics of a single haploid population with a natural selection in a fluctuating environment (genetic model). The stochastic perturbation is replaced by a deterministic chaotic system which --- in a certain limit --- has properties of a white noise generator. First, the white noise limit is discussed and tested using various statistical methods. The transition from the deterministic chaotic behaviour to the stochastic one, depending on the time scales separation is discussed. We also discuss the results of using different underlying chaotic dynamics on the macroscale properties, especially Lyapunov exponents and dimensions. The paper forms a revision and a substantial extension of E. Gudowska-Nowak, A. Kleczkowski, G. O. Williams, 'Stochastic versus chaotic dynamics in a deterministic system', Journal of Statistical Physics, January 1989, Volume 54, Issue 1-2, pp 539-560.

Journal
Acta Physica Polonica B: Volume 24, Issue 9