Hamiltonian dynamics of Darwin systems; Physica D: Nonlinear Phenomena; Vol. 112, iss. 3-4

Hamiltonian dynamics of Darwin systems; Physica D: Nonlinear Phenomena; Vol. 112, iss. 3-4

Detalhes bibliográficos
Parent link:Physica D: Nonlinear Phenomena: Scientific Journal
Vol. 112, iss. 3-4.— 1998.— [P. 441-450]
Autor principal: Shapovalov A. V. Aleksandr Vasilyevich
Outros Autores: Evdokimov E. V.
Resumo:Title screen
We present a Hamiltonian approach for the well-known Eigen model of the Darwin selection dynamics. Hamiltonization is carried out by means of the embedding of the population variable space, describing behavior of the system, into the space of double dimension by introducing auxiliary dynamic variables. Besides the study of the formalism, we try to interpret its basic elements (phase space, Hamiltonian, geometry of solutions) in terms of theoretical biology. A geometric treatment is given for the considered system dynamics in terms of the geodesic flows in the Euclidean space where the population variables serve as curvilinear coordinates.Time evolution of the distribution function is found for arbitrary distributed initial values of the population variables
Режим доступа: по договору с организацией-держателем ресурса
Idioma:inglês
Publicado em: 1998
Assuntos:
электронный ресурс
труды учёных ТПУ
Darwin systems
population dynamics
Hamiltonian formalism
Acesso em linha:http://www.sciencedirect.com/science/article/pii/S0167278997001796
Formato: Recurso Eletrônico Capítulo de Livro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636572

Registros relacionados

Registros relacionados