Planar S-systems: Global stability and the center problem
arXiv:1707.02104 · doi:10.3934/dcds.2019029
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.
26 pages, 5 figures