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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Acosta Orellana, Antonio Ramón | - |
| dc.contributor.author | Telenchana Chango, Johana Maribel | - |
| dc.date.accessioned | 2021-07-05T12:54:56Z | - |
| dc.date.available | 2021-07-05T12:54:56Z | - |
| dc.date.issued | 2021-06 | - |
| dc.identifier.uri | http://repositorio.yachaytech.edu.ec/handle/123456789/351 | - |
| dc.description | In this work, a master-slave system of autonomous chaotic ordinary differential equations that are not identical is considered. In order to refer to the master-slave system being synchronized; the aim is that the evolution of the solutions of the master and slave equations should coincide as closely as possible. Given a bounded solution for the master equation, we use this as an input in the slave equation. This leads us to a non-autonomous system where the conditions, that are represented by a class of systems illustrated by Chua's equations, are identified. Next, for the non-autonomous system, we are able to show, under suitable conditions, the existence of solutions that ensure synchronization of our master-slave system. The theoretical results shown are recreated, using Chua's equations, with numerical simulations that effectively show that the solutions of the master and slave equations match as closely as possible. | es |
| dc.description.abstract | En este trabajo se considera un sistema maestro-esclavo de Ecuaciones Diferenciales Ordinarias caóticas autónomas no idénticas. Para referirse a que el sistema maestro-esclavo está sincronizado, el objetivo es que la evolución de las soluciones de las ecuaciones maestro y la ecuación esclava coincidan lo más posible. Dada una solución acotada para la ecuación maestro, esta es usada como entrada para la ecuación esclavo. Esto nos conduce a un sistema no autónomo donde se identifican las condiciones que representan una clase de sistemas ilustrado por las ecuaciones de Chua. Por consiguiente, para el sistema no autónomo vamos a mostrar, bajo ciertas condiciones, la existencia de soluciones que encierran sincronización por parte de nuestro sistema maestro-esclavo. Los resultados teóricos mostrados son recreados usando las ecuaciones de Chua con simulaciones numéricas que muestran efectivamente que la solución del sistema maestro-esclavo se ajustan al máximo. | es |
| dc.language.iso | eng | es |
| dc.publisher | Universidad de Investigación de Tecnología Experimental Yachay | es |
| dc.rights | openAccess | es |
| dc.subject | Sincronización | es |
| dc.subject | Sistema maestro-esclavo | es |
| dc.subject | Ecuaciones de Chua | es |
| dc.subject | Teorema de Punto Fijo de Banach | es |
| dc.subject | Synchronization | es |
| dc.subject | Master-slave system | es |
| dc.subject | Chua's equations | es |
| dc.subject | Banach Fixed Point Theorem | es |
| dc.title | Synchronization in a class of non-identical master slave systems. Application to the Chua's equations | es |
| dc.type | bachelorThesis | es |
| dc.description.degree | Matemático/a | es |
| dc.pagination.pages | 49 páginas | es |
| Appears in Collections: | Matemática | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ECMC0058.pdf | 969.36 kB | Adobe PDF | View/Open |
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