Synchronization in a class of non-identical master slave systems. Application to the Chua's equations

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.

• Hovedforfatter: Telenchana Chango, Johana Maribel (author)
• Format: bachelorThesis
• Sprog: eng
• Udgivet: 2021
• Fag: Sincronización; Sistema maestro-esclavo; Ecuaciones de Chua; Teorema de Punto Fijo de Banach; Synchronization; Master-slave system; Chua's equations; Banach Fixed Point Theorem
• Online adgang: http://repositorio.yachaytech.edu.ec/handle/123456789/351