Optimization of the Kaplan-Yorke dimension in fractional-order chaotic oscillators by metaheuristics

作者：

Highlights：

• DE and PSO algorithms are adapted for the optimization of both commensurate and incommensurate fractional-order chaotic oscillators.

• The equilibrium points and eigenvalues are computed to verify if they accomplish the minimum fractional-order value to guarantee chaotic behavior.

• The optimization is divided into two stages: evaluating the minimum fractional-order to generate chaotic behavior, and time simulation to evaluate Lyapunov exponents and DKY.

摘要

•DE and PSO algorithms are adapted for the optimization of both commensurate and incommensurate fractional-order chaotic oscillators.•The equilibrium points and eigenvalues are computed to verify if they accomplish the minimum fractional-order value to guarantee chaotic behavior.•The optimization is divided into two stages: evaluating the minimum fractional-order to generate chaotic behavior, and time simulation to evaluate Lyapunov exponents and DKY.

论文关键词：Chaos,Fractional order chaotic oscillator,Differential evolution,Particle swarm optimization,Lyapunov exponent,Kaplan-Yorke dimension

论文评审过程：Received 20 October 2020, Revised 16 November 2020, Accepted 22 November 2020, Available online 8 December 2020, Version of Record 8 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125831