Attractors acyclic auxiliary dynamical system

Acyclic auxiliary dynamical system with one attractor have a characteristic property among all auxiliary dynamical systems the stoichiometric vectors of reactions Aj A q form a basis in the subspace of concentration space with c, = 0. Indeed, for such a system there exist n—1 reactions, and their... 

The first case auxiliary dynamical system is acyclic and has one attractor... 

Let us assume that the auxiliary dynamical system is acyclic and has only one attractor, a fixed point. This means that stoichiometric vectors form a basis in a subspace of concentration space with — 0. For every reaction A,- A the following linear operators Qu can be defined ... 

In the simplest case, the auxiliary discrete dynamical system for the reaction network W is acyclic and has only one attractor, a fixed point. Let this point be A (n is the number of vertices). The correspondent eigenvectors for zero eigenvalue are r = S j and Z = 1. For such a system, it is easy to find explicit analytic solution of kinetic equation (32). 

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See also in sourсe #XX -- [ , ]

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