Synchronization in a class of non-identical master slave systems. Application to the Chua's equations / Johana Maribel Telenchana Chango ; tutor Antonio Ramón Acosta Orellana
Tipo de material: TextoIdioma: Inglés Idioma del resumen: Español Fecha de copyright: Urcuquí, 2021Descripción: 49 hojas : ilustraciones (algunas a color) ; 30 cm + 1 CD-ROMTema(s): Recursos en línea: Nota de disertación: Trabajo de integración curricular (Matemático/a). Universidad de Investigación de Tecnología Experimental Yachay. Urcuquí, 2021 Resumen: 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.Tipo de ítem | Biblioteca actual | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems | |
---|---|---|---|---|---|---|---|---|
Tesis | Biblioteca Yachay Tech | ECMC0058 (Navegar estantería(Abre debajo)) | 1 | No para préstamo | T000120 |
Trabajo de integración curricular (Matemático/a). Universidad de Investigación de Tecnología Experimental Yachay. Urcuquí, 2021
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Trabajo de integración curricular con acceso abierto
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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.
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