The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics

Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar ODE. We characterize the parameters (positive coefficients and real exponents) for which the unique positive equilibrium...

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Autores principales: Boros, Balázs, Hofbauer, Josef, Müller, Stefan, Regensburger, Georg
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6314275/
https://www.ncbi.nlm.nih.gov/pubmed/30636938
http://dx.doi.org/10.1007/s12346-017-0243-2
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author Boros, Balázs
Hofbauer, Josef
Müller, Stefan
Regensburger, Georg
author_facet Boros, Balázs
Hofbauer, Josef
Müller, Stefan
Regensburger, Georg
author_sort Boros, Balázs
collection PubMed
description Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar ODE. We characterize the parameters (positive coefficients and real exponents) for which the unique positive equilibrium is a center.
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spelling pubmed-63142752019-01-11 The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics Boros, Balázs Hofbauer, Josef Müller, Stefan Regensburger, Georg Qual Theory Dyn Syst Article Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar ODE. We characterize the parameters (positive coefficients and real exponents) for which the unique positive equilibrium is a center. Springer International Publishing 2017-06-13 2018 /pmc/articles/PMC6314275/ /pubmed/30636938 http://dx.doi.org/10.1007/s12346-017-0243-2 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Boros, Balázs
Hofbauer, Josef
Müller, Stefan
Regensburger, Georg
The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics
title The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics
title_full The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics
title_fullStr The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics
title_full_unstemmed The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics
title_short The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics
title_sort center problem for the lotka reactions with generalized mass-action kinetics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6314275/
https://www.ncbi.nlm.nih.gov/pubmed/30636938
http://dx.doi.org/10.1007/s12346-017-0243-2
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