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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Detalles Bibliográficos
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
Descripción
Sumario: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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