dorsal/arxiv
View SchemaQuantum circa-rhythms
| Authors | Diederik Aerts, Marek Czachor, Monika Syty |
|---|---|
| Categories | |
| ArXiv ID | physics/0310009 |
| URL | https://arxiv.org/abs/physics/0310009 |
Abstract
A class of solutions of nonlinear von Neumann equations exhibits rhythmic properties analogous to those found for nonlinear kinetic equations employed in phenomenological description of biochemical oscillations. As opposed to kinetic equations, typically solved numerically and involving Hill-type nonlinearities, our exact solutions are derived by means of soliton techniques and involve a simple quadratic nonlinearity.
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"date_created": "2026-03-02T18:00:46.917000Z",
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"abstract": "A class of solutions of nonlinear von Neumann equations exhibits rhythmic\nproperties analogous to those found for nonlinear kinetic equations employed in\nphenomenological description of biochemical oscillations. As opposed to kinetic\nequations, typically solved numerically and involving Hill-type nonlinearities,\nour exact solutions are derived by means of soliton techniques and involve a\nsimple quadratic nonlinearity.",
"arxiv_id": "physics/0310009",
"authors": [
"Diederik Aerts",
"Marek Czachor",
"Monika Syty"
],
"categories": [
"physics.bio-ph",
"nlin.AO",
"nlin.SI",
"q-bio.QM",
"quant-ph"
],
"title": "Quantum circa-rhythms",
"url": "https://arxiv.org/abs/physics/0310009"
},
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