LASER APPLICATIONS: CONTROLLING MULTISTABILITY IN DYNAMICAL SYSTEMS WITH DELAYED FEEDBACK
"In this work we introduce a method to stabilize a particular periodic orbit in an initially chaotic system. First, we apply a time delay in feedback which allows us to stabilize several periodic orbits embedded into the chaotic attractor. Then we add harmonic modulation to a system parameter o...
| Autor: | |
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | México |
| Institución: | Centro de Investigaciones en Óptica |
| Repositorio: | Repositorio Institucional CIO |
| Idioma: | inglés |
| OAI Identifier: | oai:cio.repositorioinstitucional.mx:1002/822 |
| Acceso en línea: | http://cio.repositorioinstitucional.mx/jspui/handle/1002/822 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/AUTOR/DYNAMICAL SYSTEMS, CONTROL METHODS, LASERS, CHAOS info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 info:eu-repo/classification/cti/220910 |
| Sumario: | "In this work we introduce a method to stabilize a particular periodic orbit in an initially chaotic system. First, we apply a time delay in feedback which allows us to stabilize several periodic orbits embedded into the chaotic attractor. Then we add harmonic modulation to a system parameter or variable in order to lock one of the periodic states and by such a way to make the system monostable. The method is demonstrated with a Logistic Map and with a CO2 laser operating in a chaotic regime of a Shilnikov type. Also, we study the ability of the most widely used kinds of external harmonic modulation to annihilate an attractor in a bistable system. The comparative analysis of efficiencies to annihilate an undesired attractor of a chaotic Logistic Map with delayed feedback is performed for modulation applied either to a system parameter, to a system variable, or to the feedback strength. The results help to choose the most efficient type of modulation to control chaos and multistability." |
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