Hamiltonization of higher-order nonlinear ordinary differential equations and the Jacobi last multiplier

DOI10.1007/s10440-011-9637-3zbMath1229.34056OpenAlexW2052044114MaRDI QIDQ645027

Partha Guha, Anindya Ghose Choudhury

Publication date: 8 November 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9637-3

zbMATH Keywords

Jacobi's last multiplierconformal Weyl gravityNambu-Hamiltonianstime-dependent Hamiltonian systemwhite dwarf equation

Mathematics Subject Classification ID

Related Items (5)

Generalized conformal Hamiltonian dynamics and the pattern formation equations ⋮ On commuting vector fields and Darboux functions for planar differential equations ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications ⋮ Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane

Cites Work

• Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
• On the Jacobi last multiplier, integrating factors and the Lagrangian formulation of differential equations of the Painlevé-Gambier classification
• On the multisymplectic formalism for first order field theories
• On foundation of the generalized Nambu mechanics
• The constraint algorithm in the jet formalism
• Time scaling as an infinitesimal canonical transformation
• A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
• Hamiltonian time-dependent mechanics
• Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
• Generalized Hamiltonian Dynamics
• The Hamiltonian description of a second-order ODE
• Jacobi’s last multiplier and Lagrangians for multidimensional systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hamiltonization of higher-order nonlinear ordinary differential equations and the Jacobi last multiplier