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http://repositorio.yachaytech.edu.ec/handle/123456789/536Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Acosta Orellana, Antonio Ramón | - |
| dc.contributor.author | González Villacorte, Mabel Alejandra | - |
| dc.date.accessioned | 2022-07-22T19:43:16Z | - |
| dc.date.available | 2022-07-22T19:43:16Z | - |
| dc.date.issued | 2022-06 | - |
| dc.identifier.uri | http://repositorio.yachaytech.edu.ec/handle/123456789/536 | - |
| dc.description | This work focuses on the study of synchronization between chaotic dynamical systems. In this proposal, starting from a general system we aim, by considering particularities, to identify and study two types of synchronization: complete and partial. We present a novel strategy to analyze the synchronization of nonlinearly coupled dynamic systems. The usual methods considered rely on finding Lyapunov functions or studying Lyapunov exponents; however, we restrict this work to autonomous systems, therefore, reducing the problem of establishing synchronization to studying the eigenvalues of the matrix associated with the system. Moreover, we illustrate the theoretical results by highlighting and recreating different examples of synchronization in well-known chaotic non-linear dynamical systems from relevant literature. | es |
| dc.description.abstract | Este trabajo se centra en el estudio de la sincronización entre sistemas dinámicos caóticos. En esta propuesta a partir de un sistema general pretendemos, considerando particularidades, identificar y estudiar dos tipos de sincronización: completa y parcial. Presentamos una nueva estrategia para analizar la sincronización de sistemas dinámicos acoplados no linealmente. Los métodos considerados habitualmente se basan en encontrar funciones de Lyapunov o estudiar exponentes de Lyapunov; sin embargo, restringimos este trabajo a sistemas autónomos, por lo tanto, reducimos el problema de establecer sincronización al estudio de los valores propios de la matriz asociada al sistema. Además, ilustramos los resultados teóricos resaltando y recreando diferentes ejemplos de sincronización en sistemas dinámicos no lineales caóticos conocidos de la literatura relevante. | es |
| dc.language.iso | eng | es |
| dc.publisher | Universidad de Investigación de Tecnología Experimental Yachay | es |
| dc.rights | openAccess | es |
| dc.subject | Sincronización completa | es |
| dc.subject | Sincronización parcial | es |
| dc.subject | Sistemas caóticos | es |
| dc.subject | Exponentes de Lyapunov | es |
| dc.subject | Complete synchronization | es |
| dc.subject | Partial synchronization | es |
| dc.subject | Chaotic systems | es |
| dc.subject | Lyapunov exponent | es |
| dc.title | Study of different types of synchronization in chaotic systems | es |
| dc.type | bachelorThesis | es |
| dc.description.degree | Matemático/a | es |
| dc.pagination.pages | 74 hojas | es |
| Appears in Collections: | Matemática | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ECMC0104.pdf | 1.22 MB | Adobe PDF | View/Open |
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