Application of Jacobi’s last multiplier for construction of Hamiltonians of certain biological systems

• Authors: A. Ghose Choudhury , Partha Guha
• Languages of publication: EN

Abstracts

EN

The relationship between Jacobi’s last multiplier and the Lagrangian of a second-order ordinary differential equation is quite well known. In this article we demonstrate the significance of the last multiplier in Hamiltonian theory by explicitly constructing the Hamiltonians of certain well known first-order systems of differential equations arising in biology.

Keywords

EN

Jacobi’s last multiplier; time-dependent Hamiltonian system; singular Lagrangians; planar biological systems

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 2
• Pages: 398-404

Dates

published

1 - 4 - 2012

online

31 - 3 - 2012

Contributors

author

A. Ghose Choudhury

• Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Calcutta, 700009, India

author

Partha Guha

• S.N. Bose National Centre for Basic Sciences JD Block, Sector III, Salt Lake, Kolkata, 700098, India

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Identifiers

DOI

10.2478/s11534-012-0004-4