The center problem for the Lotka reactions with generalized mass-action kinetics

Balázs Boros; Josef Hofbauer; Stefan Müller; Georg Regensburger

doi:10.1007/s12346-017-0243-2

The center problem for the Lotka reactions with generalized mass-action kinetics

Balázs Boros
, Josef Hofbauer
, Stefan Müller
, Georg Regensburger

Institute for Algebra

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	403-410
Number of pages	8
Journal	Qualitative Theory of Dynamical Systems
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s12346-017-0243-2
Publication status	Published - Jul 2018

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

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10.1007/s12346-017-0243-2

Cite this

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title = "The center problem for the Lotka reactions with generalized mass-action kinetics",

abstract = "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.",

author = "Bal{\'a}zs Boros and Josef Hofbauer and Stefan M{\"u}ller and Georg Regensburger",

year = "2018",

month = jul,

doi = "10.1007/s12346-017-0243-2",

language = "English",

volume = "17",

pages = "403--410",

journal = "Qualitative Theory of Dynamical Systems",

issn = "1662-3592",

publisher = "Springer International Publishing",

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T1 - The center problem for the Lotka reactions with generalized mass-action kinetics

AU - Boros, Balázs

AU - Hofbauer, Josef

AU - Müller, Stefan

AU - Regensburger, Georg

PY - 2018/7

Y1 - 2018/7

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85048097772

U2 - 10.1007/s12346-017-0243-2

DO - 10.1007/s12346-017-0243-2

M3 - Article

SN - 1662-3592

VL - 17

SP - 403

EP - 410

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

IS - 2

ER -

The center problem for the Lotka reactions with generalized mass-action kinetics

Abstract

Fields of science

JKU Focus areas

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Algebra and algorithms for integro-differential equations

Cite this

The center problem for the Lotka reactions with generalized mass-action kinetics

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Projects

Algebra and algorithms for integro-differential equations

Cite this