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

Source: [The center problem for the Lotka reactions with generalized mass-action kinetics](<https://www.sota2.com/research/paper/68fa59991e209131ce9b8a1a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T05:23:35.742Z

Authors: Bal\\'azs Boros, Josef Hofbauer, Georg Regensburger, Stefan M\\"uller

Published: 2017-02-02T14:57:41.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1702.00707>)

[PDF](<https://arxiv.org/pdf/1702.00707.pdf>)