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

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