PreprintCC BY 4.0arXiv
Hamiltonian dynamics with nonconservative forces on extended phase space: An analytical mechanics derivation
Abstract
Although nonconservative forces and extended phase space are individually common topics in Hamiltonian dynamics, their combination is seldom developed explicitly. This note derives the full Hamiltonian equations of motion for nonconservative and nonautonomous dynamical systems formulated on extended phase space. Particular attention is given to the momentum coordinate and generalized force associated with time. The classic analytical dynamics framework is used throughout, with all developments formulated in terms of arbitrary symplectic coordinates (i.e., canonical coordinates) or functions thereof.
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BibTeX
@misc{peterson2026hamiltonian,
title = {{Hamiltonian dynamics with nonconservative forces on extended phase space: An analytical mechanics derivation}},
author = {Joseph T. A Peterson and Manoranjan Majji and John L. Junkins},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41635},
eprint = {2610.41635},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41635},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Hamiltonian dynamics with nonconservative forces on extended phase space: An analytical mechanics derivation
AU - Joseph T. A Peterson
AU - Manoranjan Majji
AU - John L. Junkins
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41635
UR - https://arxiv.org/abs/2610.41635
AB - Although nonconservative forces and extended phase space are individually common topics in Hamiltonian dynamics, their combination is seldom developed explicitly. This note derives the full Hamiltonian equations of motion for nonconservative and nonautonomous dynamical systems formulated on extended phase space. Particular attention is given to the momentum coordinate and generalized force associated with time. The classic analytical dynamics framework is used throughout, with all developments formulated in terms of arbitrary symplectic coordinates (i.e., canonical coordinates) or functions thereof.
ER -