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Research on optimization performance comparison of different one-dimensional chaotic maps

Xin Tong Zhao

Open publisher page 8 citations

Abstract

This paper analyzed the Logistic map,Tent map,ICMIC map,Bernouilli shift map,Chebyshev map and Sine map.Compared the chaotic search effect of different one-dimensional chaotic map in solving nonlinear optimization problems.The global optimization ability,convergence rate and solution accuracy of the six kinds of maps were tested using four kinds of two-dimensional function.Compared the performance of their optimization by simulation.Obtained the performance comparison conclusion of the six kinds of maps in convergence rate and solution accuracy.

About this research paper

What this paper is about

This paper analyzed the Logistic map,Tent map,ICMIC map,Bernouilli shift map,Chebyshev map and Sine map.Compared the chaotic search effect of different one-dimensional chaotic map in solving nonlinear optimization problems.The global optimization ability,convergence rate and solution accuracy of the six kinds of maps were tested using four kinds of two-dimensional function.Compared the performance of their optimization by simulation.Obtained the performance comparison conclusion of the six kinds of maps in convergence rate and solution accuracy.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Method / approach

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Available abstract

This paper analyzed the Logistic map,Tent map,ICMIC map,Bernouilli shift map,Chebyshev map and Sine map.Compared the chaotic search effect of different one-dimensional chaotic map in solving nonlinear optimization problems.The global optimization ability,convergence rate and solution accuracy of the six kinds of maps were tested using four kinds of two-dimensional function.Compared the performance of their optimization by simulation.Obtained the performance comparison conclusion of the six kinds of maps in convergence rate and solution accuracy.

Key concepts: Tent map, Logistic map, Chaotic, Computer science, Chebyshev filter, Sine, Convergence (economics), Chaotic map

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