Singular Lagrangian, Hamiltonization and Jacobi last multiplier for certain biological systems

被引：1

作者：

Guha, Partha ^{[1
]}

Choudhury, Anindya Ghose ^{[2
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, India

[2] Surendranath Coll, Dept Phys, Kolkata 700009, W Bengal, India

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2013年 / 222卷 / 3-4期

关键词：

DIFFERENTIAL-EQUATIONS;

D O I：

10.1140/epjst/e2013-01867-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the construction of singular Lagrangians using Jacobi's last multiplier (JLM). We also demonstrate the significance of the last multiplier in Hamiltonian theory by explicitly constructing the Hamiltonian of the Host-Parasite model and a Lotka-Volterra mutualistic system, both of which are well known first-order systems of differential equations arising in biology.

引用

页码：615 / 624

页数：10

共 50 条

[1] Singular Lagrangian, Hamiltonization and Jacobi last multiplier for certain biological systems
Partha Guha
Anindya Ghose Choudhury
The European Physical Journal Special Topics, 2013, 222 : 615 - 624
[2] Application of Jacobi's last multiplier for construction of Hamiltonians of certain biological systems
Choudhury, A. Ghose
Guha, Partha
CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2012, 10 (02): : 398 - 404
[3] Hamiltonization of Higher-Order Nonlinear Ordinary Differential Equations and the Jacobi Last Multiplier
Guha, Partha
Choudhury, A. Ghose
ACTA APPLICANDAE MATHEMATICAE, 2011, 116 (02) : 179 - 197
[4] Hamiltonization of Higher-Order Nonlinear Ordinary Differential Equations and the Jacobi Last Multiplier
Partha Guha
A. Ghose Choudhury
Acta Applicandae Mathematicae, 2011, 116
[5] Hamiltonization of higher-order nonlinear ordinary differential equations and the Jacobi last multiplier
Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig 04103, Germany
不详
不详
Acta Appl Math, 1600, 2 (179-197):
[6] The role of the Jacobi last multiplier and isochronous systems
PARTHA GUHA
ANINDYA GHOSE CHOUDHURY
Pramana, 2011, 77 : 917 - 927
[7] The role of the Jacobi last multiplier and isochronous systems
Guha, Partha
Choudhury, Anindya Ghose
PRAMANA-JOURNAL OF PHYSICS, 2011, 77 (05): : 917 - 927
[8] The Method of Jacobi Last Multiplier for Integrating Nonholonomic Systems
Zhang, Y.
ACTA PHYSICA POLONICA A, 2011, 120 (03) : 443 - 446
[9] Jacobi's last multiplier and Lagrangians for multidimensional systems
Nucci, M. C.
Leach, P. G. L.
JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (07)
[10] THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIENARD TYPE SYSTEMS
Guha, Partha
Choudhury, A. Ghose
REVIEWS IN MATHEMATICAL PHYSICS, 2013, 25 (06)

← 1 2 3 4 5 →