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 (Corresponding author), Georg Regensburger

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

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
Early online date	2017
DOIs	https://doi.org/10.1007/s12346-017-0243-2
Publication status	Published - 2018

Austrian Fields of Science 2012

101004 Biomathematics

Keywords

Center-focus problem
Chemical reaction network
First integral
Focal value
Power-law kinetics
Reversible system

Access to Document

10.1007/s12346-017-0243-2Licence: CC BY 4.0

http://phaidra.univie.ac.at/o:715283Licence: CC BY 4.0

Cite this

@article{355465c48c7843468e5fe4d7da479343,

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.",

keywords = "Center-focus problem, Chemical reaction network, First integral, Focal value, Power-law kinetics, Reversible system",

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

note = "Publisher Copyright: {\textcopyright} 2017, The Author(s).",

year = "2018",

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

language = "English",

volume = "17",

pages = "403--410",

journal = "Qualitative Theory of Dynamical Systems",

issn = "1575-5460",

number = "2",

}

TY - JOUR

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

Y1 - 2018

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.

KW - Center-focus problem

KW - Chemical reaction network

KW - First integral

KW - Focal value

KW - Power-law kinetics

KW - Reversible system

UR - http://www.scopus.com/inward/record.url?scp=85048097772&partnerID=8YFLogxK

U2 - 10.1007/s12346-017-0243-2

DO - 10.1007/s12346-017-0243-2

M3 - Article

SN - 1575-5460

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

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Fingerprint

Sign vector conditions in Chemical Reaction Network Theory

Cite this

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

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Sign vector conditions in Chemical Reaction Network Theory

Cite this