66 citations · 178 across the 46 of their papers we have counts for
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The Computation of the Disguised Toric Locus of Reaction Networks
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Mathematical models of reaction networks can exhibit very complex dynamics, including multistability, oscillations, and chaotic dynamics. On the other hand, under some additional a…
Generalized Lotka-Volterra Systems and Complex Balanced Polyexponential Systems
Diego Rojas La Luz, Gheorghe Craciun, Polly Y. Yu
We study the global stability of generalized Lotka-Volterra systems with generalized polynomial right-hand side, without restrictions on the number of variables or the polynomial d…
The toric locus of a reaction network is a smooth manifold
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We show that the toric locus of a reaction network is a smoothly embedded submanifold of the Euclidean space. More precisely, we prove that the toric locus of a reaction network is…
On the Connectivity of the Disguised Toric Locus of a Reaction Network
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Complex-balanced mass-action systems are some of the most important types of mathematical models of reaction networks, due to their widespread use in applications, as well as their…
A Lower Bound on the Dimension of the -Disguised Toric Locus of a Reaction Network
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Polynomial dynamical systems (i.e. dynamical systems with polynomial right hand side) are ubiquitous in applications, especially as models of reaction networks and interaction netw…
The structure of the moduli spaces of toric dynamical systems
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We consider complex-balanced mass-action systems, or toric dynamical systems. They are remarkably stable polynomial dynamical systems arising from reaction networks seen as Euclide…