Design of multi–scroll chaotic oscillators
Chaotic oscillators have been intensively studied since a few decades and constitute a field for some potential applications in electronics, which are still in development. For instance, the efforts in designing continuous time chaotic oscillators and their design using integrated circuit technology...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2012 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | inglés |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/776 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/776 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Caos/Chaos info:eu-repo/classification/Circuitos integrados CMOS/CMOS integrated circuits info:eu-repo/classification/Osciladores/Oscillators info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Sumario: | Chaotic oscillators have been intensively studied since a few decades and constitute a field for some potential applications in electronics, which are still in development. For instance, the efforts in designing continuous time chaotic oscillators and their design using integrated circuit technology have been considered only in a very few works. In this manner, this Thesis pretends to stretch the gap between theoretical chaotic dynamical systems, particularly the multi-scroll oscillators and their integrated realizations in order to establish the basis for future chaos-based applications. Moreover, multi-scroll chaotic attractors are a particularly intriguing topology of chaotic continuous dynamical systems, which are seen in many piecewise-linear (PWL) based nonlinear function cases of chaotic oscillators. The main advantages in the use of these PWL functions are the obtention of partial analytical solutions and the relatively simple design as well as the modularity required for the change of attractors, i.e. by growing the number of scrolls. In this manner, this Thesis starts by describing the theoretic concepts related to the generation of chaotic behavior by homoclinic and heteroclinic orbits. Then, the diverse architectures of continuous chaotic motion in the literature are briefly reviewed and compared. An analysis in the complexity based on the global Lyapunov exponents is surveyed and a particular dynamical system is selected. A new multi-scroll attractor is obtained by applying saw-tooth-like nonlinear functions. The system design requirements are obtained and then the need of a new nonlinear cell becomes evident. At this point, this voltage-to-current cell is being proposed by using comparators implemented with floating gate MOS (FGMOS) transistors, which are analyzed in depth and adapted to a whole third order dynamical system to generate multi-scroll chaotic behavior. Design simulations are presented before and after the layout, and the results are confirmed by the experimental observations made over the fabricated multi-scroll chaotic oscillator prototype. Additionally, a process-voltage-temperature (PVT) analysis is performed to show the robustness of the integrated chaotic oscillator with respect to variations in temperature and process corners. |
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