Hamiltonian approach to the dynamics of darwinian systems

E. V. Evdokimov, A. V. Shapovalov

Research output: Contribution to journalArticle

Abstract

It is shown that equations describing the dynamics of Darwinian systems (DS) far from the bifurcation points may be expressed in Hamiltonian form. The cases of DS with constant organization and DS with a constant flux through the system are considered. The configurational part of phase space is formed by variables containing information on the structure of the system. Momentum variables may be regarded as specific rates of multiplication. The evolution of DS with constant organization in this phase space is expressed as uniform rectilinear motion. In the case of DS with a constant flux, the motion occurs in some effective constant and uniform field. The meaning of the elements of the Hamiltonian structure is described in terms of theoretical biology.

Original languageEnglish
Pages (from-to)610-615
Number of pages6
JournalRussian Physics Journal
Volume40
Issue number7
Publication statusPublished - 1997
Externally publishedYes

Fingerprint

biology
multiplication
momentum

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Hamiltonian approach to the dynamics of darwinian systems. / Evdokimov, E. V.; Shapovalov, A. V.

In: Russian Physics Journal, Vol. 40, No. 7, 1997, p. 610-615.

Research output: Contribution to journalArticle

@article{a1f7acdfb88b4ed2b2dbbbb02aa855a4,
title = "Hamiltonian approach to the dynamics of darwinian systems",
abstract = "It is shown that equations describing the dynamics of Darwinian systems (DS) far from the bifurcation points may be expressed in Hamiltonian form. The cases of DS with constant organization and DS with a constant flux through the system are considered. The configurational part of phase space is formed by variables containing information on the structure of the system. Momentum variables may be regarded as specific rates of multiplication. The evolution of DS with constant organization in this phase space is expressed as uniform rectilinear motion. In the case of DS with a constant flux, the motion occurs in some effective constant and uniform field. The meaning of the elements of the Hamiltonian structure is described in terms of theoretical biology.",
author = "Evdokimov, {E. V.} and Shapovalov, {A. V.}",
year = "1997",
language = "English",
volume = "40",
pages = "610--615",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "7",

}

TY - JOUR

T1 - Hamiltonian approach to the dynamics of darwinian systems

AU - Evdokimov, E. V.

AU - Shapovalov, A. V.

PY - 1997

Y1 - 1997

N2 - It is shown that equations describing the dynamics of Darwinian systems (DS) far from the bifurcation points may be expressed in Hamiltonian form. The cases of DS with constant organization and DS with a constant flux through the system are considered. The configurational part of phase space is formed by variables containing information on the structure of the system. Momentum variables may be regarded as specific rates of multiplication. The evolution of DS with constant organization in this phase space is expressed as uniform rectilinear motion. In the case of DS with a constant flux, the motion occurs in some effective constant and uniform field. The meaning of the elements of the Hamiltonian structure is described in terms of theoretical biology.

AB - It is shown that equations describing the dynamics of Darwinian systems (DS) far from the bifurcation points may be expressed in Hamiltonian form. The cases of DS with constant organization and DS with a constant flux through the system are considered. The configurational part of phase space is formed by variables containing information on the structure of the system. Momentum variables may be regarded as specific rates of multiplication. The evolution of DS with constant organization in this phase space is expressed as uniform rectilinear motion. In the case of DS with a constant flux, the motion occurs in some effective constant and uniform field. The meaning of the elements of the Hamiltonian structure is described in terms of theoretical biology.

UR - http://www.scopus.com/inward/record.url?scp=53249129496&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53249129496&partnerID=8YFLogxK

M3 - Article

VL - 40

SP - 610

EP - 615

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 7

ER -