Synthesis of chaotic oscillators by applying behavioral modeling
This Thesis introduces a synthesis methodology to design n-scrolls chaotic systems by means of high-level behavioral modeling, which allows easily exploring a wide range of parameters for the n-scrolls chaotic systems and, at the same time, to exploit specific aspects of them leading to efficient ev...
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| Formato: | tesis doctoral |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2009 |
| País: | México |
| Recursos: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | inglés |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/414 |
| Acesso em linha: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/414 |
| Access Level: | acceso abierto |
| Palavra-chave: | info:eu-repo/classification/Caos/Chaos info:eu-repo/classification/Circuito CAD/Circuit CAD info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2203 |
| Resumo: | This Thesis introduces a synthesis methodology to design n-scrolls chaotic systems by means of high-level behavioral modeling, which allows easily exploring a wide range of parameters for the n-scrolls chaotic systems and, at the same time, to exploit specific aspects of them leading to efficient evaluation of their performance. Therefore, the goal of the research here reported, consists in the improvement of the analog design process for n-scrolls chaotic systems by means of the definition, development, and demonstration of an automatic synthesis methodology, which helps to reduce the design complexity for this class of systems and allows to exploit their possibilities in chaos-based information systems. The new methodology of circuit synthesis is performed by three hierarchical levels. First, the chaotic oscillators are numerically simulated at the electronic system level by applying state variables and piecewise-linear approximation. To speed-up time simulation, it is implemented a procedure for the automatic control and determination of step-size in Adams-Moulton algorithms. Second, the excursion levels of the chaotic signals are scaled to control the breaking points and slopes of the saturated functions within practical values. Additionally, the frequency scaling of chaotic attractors is performed. When saturated functions have been computed, they can be synthesized using high-level Verilog-A models. In this manner, a chaotic oscillator is synthesized using operational amplifiers to generate n-scrolls chaotic attractors with multiple orientations. The stability of the synthesized chaotic attractors is determined by calculating the Lyapunov exponents using an algorithm also proposed in this Thesis. Finally, the implementation of a CAD-tool framework for the synthesis methodology is also reported. Numerical results are confirmed by SPICE simulations and experimental results to show the usefulness of the proposed synthesis approach. This Thesis is the result of 3 years of scientific research within the Integrated Circuit design research group of the Department of Electronics at the National Institute of Astrophysics, Optics and Electronics in Mexico. Furthermore, the results of this Thesis have been published in 7 Journals, 2 conference proceedings and 1 local conference. |
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