Geodesic
Application of particle swarm optimization for parameter estimation of the logistic map
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 17 (2024) no. 3, pp. 102-111

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This work considers the parameter estimation from measurements of the logistic map. The problem is solved in the context of optimization approach, which assumes minimization of a cost function that measures the difference between the time series obtained from the model equation and measurements. Complex dynamics of the logistic map leads to the multi-extremal optimization problem. It requires using appropriate computational techniques. This work presents the application of particle swarm optimization in searching for the global minimum of the cost function.
Keywords: logistic map, parameter estimation, cost function, particle swarm optimization. 
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     author = {A. S. Sheludko},
     title = {Application of particle swarm optimization for parameter estimation of the logistic map},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
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     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2024_17_3_a7/}
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A. S. Sheludko. Application of particle swarm optimization for parameter estimation of the logistic map. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 17 (2024) no. 3, pp. 102-111. http://geodesic.mathdoc.fr/item/VYURU_2024_17_3_a7/