Paper

The Planar Case of Thomas Positive Circuits Conjecture

arXiv:2607.14143v1 Announce Type: cross Abstract: The notion of circuit refers to a cyclic oriented influence between the elements of a dynamical system. There are two classes of circuit: positive and negative. R. Thomas conjectured that a necessary condition of multi stationarity is the existence of positive circuits. In this paper we use dynamical system tools and planar analysis to find conditions for which the conjecture holds for planar systems.

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