Optimización de osciladores caóticos de orden fraccionario aplicando metaheurísticas
1695 was the year in which fractional calculus was introduced as an area of pure mathematics. Today, numerous researchers have shown that fractional derivatives more accurately describe the dynamics of a nonlinear problem in all fields of science and engineering, compared to those derived in integer...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2020 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | español |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/2007 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2007 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Inspec/Caos info:eu-repo/classification/Inspec/Sistemas de orden fraccionario info:eu-repo/classification/Inspec/Optimización info:eu-repo/classification/Inspec/PSO info:eu-repo/classification/Inspec/Evolución diferencial info:eu-repo/classification/Inspec/FPAA info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Sumario: | 1695 was the year in which fractional calculus was introduced as an area of pure mathematics. Today, numerous researchers have shown that fractional derivatives more accurately describe the dynamics of a nonlinear problem in all fields of science and engineering, compared to those derived in integer order. In the field of chaos theory, for two decades several authors have introduced mathematical models associated with fractional-order chaotic oscillators (FOCO), which have been implemented in electronic systems and used in some applications such as cryptography and secure communications. Developed applications exploit the complex dynamics of FOCOs, which can be quantified by evaluating the Lyapunov exponents, the Kaplan-Yorke dimension, and Entropy. These characteristics can be improved by varying the parameters of the FOCO, as well as the orders of the fractional derivatives that can be equal or unequal. However, the computational cost to improve the dynamic characteristics of a FOCO is very high, and depends heavily on the numerical method applied. |
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