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Gafiychuk Replicator dynamical systems and their gradient and Hamiltonian properties. cond-mat/0302493

By A. A. Prykarpatsky and V. V. Gafiychuk


We consider the general properties of the replicator dynamical system from the standpoint of its evolution and stability. Vector field analysis as well as spectral properties of such system has been studied. Lyaponuv function for investigation of system evolution has been proposed. The generalization of the replicator dynamics for the case of multi-agent systems has been introduced. We propose a new mathematical model to describe the multi-agent interaction in complex system

Topics: system, multi-agent interaction
Year: 2003
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