THE THERMODYNAMIC CHARACTERISTICS OF THE SYSTEMS WITH NONLINEAR PAIRWISE INTERACTIONS

Yuri Pykh

In this report I summarize the results in the application of Direct Lyapunov method to the generalized replicator systems. This complex systems to define the properties of an system composed of agents that are coupled via pairwise interactions. It is shown that there are exist two types of Lyapunov functions: fitness-like and entropy-like. As example it’ll be establish that practically all known entropy measures may be obtain from entropy-like Lyapunov function for replicator systems.

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