dorsal/arxiv
View SchemaNonconservative Lagrangian mechanics II: purely causal equations of motion
| Authors | David W. Dreisigmeyer, Peter M. Young |
|---|---|
| Categories | |
| ArXiv ID | physics/0402056 |
| URL | https://arxiv.org/abs/physics/0402056 |
| DOI | 10.1007/s10701-015-9892-7 |
| Journal | Foundations of Physics Volume 45, Issue 6 , pp 661-672, 2015 |
Abstract
This work builds on the Volterra series formalism presented in [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems. Here we treat Lagrangians and actions as `time dependent' Volterra series. We present a new family of kernels to be used in these Volterra series that allow us to derive a single retarded equation of motion using a variational principle.
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"abstract": "This work builds on the Volterra series formalism presented in [D. W.\nDreisigmeyer and P. M. Young, J. Phys. A \\textbf{36}, 8297, (2003)] to model\nnonconservative systems. Here we treat Lagrangians and actions as `time\ndependent\u0027 Volterra series. We present a new family of kernels to be used in\nthese Volterra series that allow us to derive a single retarded equation of\nmotion using a variational principle.",
"arxiv_id": "physics/0402056",
"authors": [
"David W. Dreisigmeyer",
"Peter M. Young"
],
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"physics.class-ph"
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"doi": "10.1007/s10701-015-9892-7",
"journal_ref": "Foundations of Physics Volume 45, Issue 6 , pp 661-672, 2015",
"title": "Nonconservative Lagrangian mechanics II: purely causal equations of motion",
"url": "https://arxiv.org/abs/physics/0402056"
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