Optimization of integer/fractional order chaotic systems by metaheuristics and their electronic realization
Numerical methods -- Integer-order chaotic/hyper-chaotic oscillators -- Fractional-order chaotic/hyper-chaotic oscillators -- Single-objective optimization algorithms -- Multi-objective optimization algorithms -- Single-objective optimization of fractional-order chaotic/hyper-chaotic oscillators and...
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| Weitere Verfasser: | , , |
| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Boca Raton, London, New York
CRC Press, Taylor & Francis Group
2021
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| Ausgabe: | First edition |
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| Online Zugang: | Inhaltsverzeichnis |
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Tag hinzufügen | Zusammenfassung: | Numerical methods -- Integer-order chaotic/hyper-chaotic oscillators -- Fractional-order chaotic/hyper-chaotic oscillators -- Single-objective optimization algorithms -- Multi-objective optimization algorithms -- Single-objective optimization of fractional-order chaotic/hyper-chaotic oscillators and their FPAA-based implementation -- Multi-objective optimization of fractional-order chaotic/hyper-chaotic oscillators and their FPGA-based implementation -- Applications of optimized fractional-order chaotic/hyper-chaotic oscillators. "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 characteristics can be optimized applying metaheuristics, which basically consists on varying the values of the coefficients of a mathematical model. The optimized models can then be implemented using commercially available amplifiers, field-programmable analog arrays (FPAA), field-programmable gate arrays (FPGAs), microcontrollers, graphic processing units, and even using nanometer technology of integrated circuits"-- |
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| Beschreibung: | "A science publishers book." Includes bibliographical references (page 231-248) and index |
| Beschreibung: | ix, 256 Seiten Illustrationen, Diagramme |
| ISBN: | 9780367486686 978-0-367-48668-6 |