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The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics.
Qualitative Theory of Dynamical Systems ( IF 1.9 ) Pub Date : 2017-06-13 , DOI: 10.1007/s12346-017-0243-2
Balázs Boros 1, 2 , Josef Hofbauer 1 , Stefan Müller 1, 2 , Georg Regensburger 3
Affiliation  

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.

中文翻译:

广义质量作用动力学 Lotka 反应的中心问题。

具有广义质量作用动力学的化学反应网络导致幂律动力系统。作为一个简单的例子,我们考虑 Lotka 反应和由此产生的平面 ODE。我们描述了以唯一正平衡为中心的参数(正系数和实数指数)。
更新日期:2017-06-13
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