Optimization of Integer/Fractional Order Chaotic Systems

by Tlelo-cuautle, Esteban; De La Fraga, Luis Gerardo; Guillen-Fernan

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Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization, Hardcover by Tlelo-cuautle, Esteban; De La Fraga, Luis Gerardo; Guillen-Fernandez, Omar; Silva-Juarez, Alejandro, ISBN 0367486687, ISBN-13 9780367486686, Like New Used, Free shipping in the US "Recently, researchers around the world have introduced 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 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. In this manner, simulating chaotic/hyperchaotic oscillators of integer/fractional-order and with self-excited/hidden attractors is quite important to evaluate their Lyapunov exponents, Kaplan-Yorke dimension and entropy. Further, to improve the dynamics of the oscillators, their main characterist

• ISBN: 9780367486686
• Condition: Fine

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