Chaotic nature of mesh networks with distributed routing

Andrzej Rucinski, Peter G. Drexel, Barbara Dziurla · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1991

This paper proposes a new formalism to classify distributed systems. Traditional tools like queuing theory Markov chains and perturbance analysis assume linear system behaviors and are used to characterize steady state operation meaningful only if the dynamic transients are disregarded. An approach based upon methodology used to characterize nonlinear chaotic systems is introduced. A simulation model a mesh of processors with distributed routing is used to demonstrate typical behaviors including chaos.

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