Quasi-toric differential inclusions
Copyright policy )Quasi-toric differential inclusions
Toric differential inclusions play a pivotal role in providing a rigorous interpretation of the connection between weak reversibility and the persistence of mass-action systems and polynomial dynamical systems. We introduce the notion of quasi-toric differential inclusions, which are strongly related to toric differential inclusions, but have a much simpler geometric structure. We show that every toric differential inclusion can be embedded into a quasi-toric differential inclusion and that every quasi-toric differential inclusion can be embedded into a toric differential inclusion. In particular, this implies that weakly reversible dynamical systems can be embedded into quasi-toric differential inclusions.
17 pages, 8 figures
- UNIVERSITY OF WISCONSIN-MADISON United States
- University of Wisconsin–Madison United States
- University of Wisconsin–Oshkosh United States
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, persistence, Dynamical Systems (math.DS), Generic properties, structural stability of dynamical systems, invariant regions, 37N25, 80A30, 92C45, 92E20, 14M25, differential inclusions, global attractor conjecture, FOS: Mathematics, Mathematics - Dynamical Systems, Toric varieties, Newton polyhedra, Okounkov bodies, permanence, Ordinary differential inclusions
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, persistence, Dynamical Systems (math.DS), Generic properties, structural stability of dynamical systems, invariant regions, 37N25, 80A30, 92C45, 92E20, 14M25, differential inclusions, global attractor conjecture, FOS: Mathematics, Mathematics - Dynamical Systems, Toric varieties, Newton polyhedra, Okounkov bodies, permanence, Ordinary differential inclusions
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