Supercycles, strange attractors and chaos in a standard model of population genetics

V. Kirzhner; B. I. Lembrikov; A. Korol; E. Nevo

doi:10.1016/S0378-4371(97)00517-7

Supercycles, strange attractors and chaos in a standard model of population genetics

V. Kirzhner, B. I. Lembrikov, A. Korol, E. Nevo

Department of Evolutionary and Environmental Biology

Research output: Contribution to journal › Article › peer-review

Abstract

We carried out a detailed investigation of the standard multilocus genetic system. We evaluated the characteristics of the dynamics of several types of such a system allowing to classify the complex trajectories: the Lyapunov exponent, the information entropy, the information dimension and the capacity. It is shown that such dynamic systems manifest auto-oscillations, strange attractors, and chaos.

Original language	English
Pages (from-to)	565-570
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	249
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(97)00517-7
State	Published - 2 Jan 1998

Keywords

Bifurcation
Chaos
Cyclical selection

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability

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10.1016/S0378-4371(97)00517-7

Cite this

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title = "Supercycles, strange attractors and chaos in a standard model of population genetics",

abstract = "We carried out a detailed investigation of the standard multilocus genetic system. We evaluated the characteristics of the dynamics of several types of such a system allowing to classify the complex trajectories: the Lyapunov exponent, the information entropy, the information dimension and the capacity. It is shown that such dynamic systems manifest auto-oscillations, strange attractors, and chaos.",

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AU - Kirzhner, V.

AU - Lembrikov, B. I.

AU - Korol, A.

AU - Nevo, E.

PY - 1998/1/2

Y1 - 1998/1/2

N2 - We carried out a detailed investigation of the standard multilocus genetic system. We evaluated the characteristics of the dynamics of several types of such a system allowing to classify the complex trajectories: the Lyapunov exponent, the information entropy, the information dimension and the capacity. It is shown that such dynamic systems manifest auto-oscillations, strange attractors, and chaos.

AB - We carried out a detailed investigation of the standard multilocus genetic system. We evaluated the characteristics of the dynamics of several types of such a system allowing to classify the complex trajectories: the Lyapunov exponent, the information entropy, the information dimension and the capacity. It is shown that such dynamic systems manifest auto-oscillations, strange attractors, and chaos.

KW - Bifurcation

KW - Chaos

KW - Cyclical selection

UR - https://www.scopus.com/pages/publications/0032002411

U2 - 10.1016/S0378-4371(97)00517-7

DO - 10.1016/S0378-4371(97)00517-7

M3 - Article

AN - SCOPUS:0032002411

SN - 0378-4371

VL - 249

SP - 565

EP - 570

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

ER -

Supercycles, strange attractors and chaos in a standard model of population genetics

Abstract

Keywords

ASJC Scopus subject areas

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