论文信息 - Positive Particle Interaction

Positive Particle Interaction

This paper treats interaction between finitely many particles where the future state of each particle is obtained from the present states of all other particles by a positive linear combination with time variant coefficients. The main result provides conditions for a common globally asymptotically stable equilibrium to exist. These conditions are, in particular, satisfied if the particles show slowly decaying interation. Since particles can be many things, there are many applications, for example, heat diffusion in an inhomogeneous medium, a many body problem under pseudo-gravity and consensus formation under bounded confidence.

Ulrich Krause

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