Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:B2L-B

Session:

Number:B2L-B3

Response of the Physarum Solver to a Sinusoidal Stimulation in a Path Finding Stage for a Transport Network

Hiroyuki Takahashi,  Kuniyasu Shimizu,  Yutaka Haga,  

pp.401-404

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.B2L-B3

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Summary:
"Physarum solver" is the shortest path finding algorithm for a transport network mimicking an adaptation process in true slime mold developed by Tero et al. (2006) Physica A, 363. We introduce a periodic forcing term to the solver, and investigate a response to the stimulation. With the forcing term, there exists such a property that the required time to reach steady state becomes short. Also there exists trade-off between the convergence time and accuracy for the shortest path finding process with respect to the amplitude of the forcing term.