Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization-P2P
Mathematicians have devised different chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can generate chaos or hyperchaos. The numerical methods to simulate those integer and fractional-order chaotic systems are quite different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One challenge is estimating the step-size to run a numerical method. It can be done analyzing the eigenvalues of self-excited attractors, while for hidden attractors it is difficult to evaluate the equilibrium points that are required to formulate the Jacobian matrices. Time simulation of fractional-order chaotic oscillators also requires estimating a memory length to achieve exact results, and it is associated to memories in hardware design.

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization-P2P
English | 2021 | ISBN-13: 978-0367486686 | 266 Pages | True PDF | 68.21 MB
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