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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2024 Volume 17, Issue 3, Pages 102–111 (Mi vyuru733)

Programming & Computer Software

Application of particle swarm optimization for parameter estimation of the logistic map

A. S. Sheludko

South Ural State University, Chelyabinsk, Russian Federation

Abstract: 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.

UDC: 519.7

MSC: 93E12

Received: 07.05.2024

Language: English

DOI: 10.14529/mmp240308



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