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arXiv · 1707.02104

Planar S-systems: Global stability and the center problem

Balázs Boros·Josef Hofbauer·Stefan Müller·Georg Regensburger
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Abstract

S-systems are simple examples of power-law dynamical systems (polynomial systems with real exponents). For planar S-systems, we study global stability of the unique positive equilibrium and solve the center problem. Further, we construct a planar S-system with two limit cycles.

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Balázs Boros, Josef Hofbauer, Stefan Müller, Georg Regensburger. 2017-07-07. Planar S-systems: Global stability and the center problem. https://doi.org/10.3934/dcds.2019029

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