Complete synchronizability of chaotic systems: A geometric approach
| العنوان: | Complete synchronizability of chaotic systems: A geometric approach |
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| المؤلفون: | G. Solı́s-Perales, V. Ayala, R. Femat, W. Kliemann |
| المصدر: | CHAOS Artículos CONICYT CONICYT Chile instacron:CONICYT |
| بيانات النشر: | AIP Publishing, 2003. |
| سنة النشر: | 2003 |
| مصطلحات موضوعية: | Applied Mathematics, Synchronization of chaos, General Physics and Astronomy, Statistical and Nonlinear Physics, State (functional analysis), Models, Theoretical, Models, Biological, Synchronization, Feedback, Nonlinear Sciences::Chaotic Dynamics, Controllability, Nonlinear system, Nonlinear Dynamics, Control theory, Oscillometry, Vector field, Affine transformation, Observability, Mathematical Physics, Mathematics |
| الوصف: | Synchronizability of chaotic systems is studied in this contribution. Geometrical tools are used to understand the properties of vector fields in affine systems. The discussion is focused on synchronizability of chaotic systems with equal order. The analysis is based on the synchronous behavior of all states of the master/slave system (complete synchronization). We state sufficient and necessary conditions for complete synchronizability which are based on controllability and observability of nonlinear affine systems. In this sense, the synchronizability is studied for complete synchronization via state feedback control. |
| تدمد: | 1089-7682 1054-1500 |
| DOI: | 10.1063/1.1566511 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca3fa01ffd58cae01c9f551e398ed5de https://doi.org/10.1063/1.1566511 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....ca3fa01ffd58cae01c9f551e398ed5de |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10897682 10541500 |
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| DOI: | 10.1063/1.1566511 |