We study families of polynomial dynamical systems inspired by biochemical reaction networks. focus on complex balanced mass-action systems, which have also been called toric. They are known or conjectured to enjoy very strong properties, such as existence and uniqueness positive steady states, local global stability, persistence, permanence. consider the class disguised toric contains all prope...

the aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. in order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. this is done by the extension of ...

the main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. in this paper, the notion of  dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is...