Programmable chaotic oscillator design

Chaotic systems are nonlinear dynamical systems and the most important features of the chaotic systems are sensivity on initial conditions, having nonperiodic behavior and noise like wideband spread spectrum. Several control mechanisms and algorithms have been developed to control the unwanted chaotic behavior of the systems and to prevent the chaotic behavior of the systems. In this thesis, application of Chua chaotic system using Xilinx System Generator technology in Kintex 7 FPGA development board is presented. Differential equations of any nonlinear system should be discrete in the FPGA editor prior to coding and design. The Chua chaotic system was discrete using the Euler discretization method to separate continuously generated signals. In this thesis, a systematic approach to perform multi-part linear resistance functions in nonlinear circuits is proposed and developed. The even and odd number of sliding chaotic tractors can be easily produced experimentally in the Chua circuit following the proposed implementation scheme and circuit design. It has been found that the only difference is to disconnect a resistor to produce even or even number of shifting tractors. The model was re-compiled in XSG platform based on a Matlab / Simulink model that handled the chaotic fume number as an input parameter and showed multiple chaotic fume behaviors ranging from 5-10. Then, FPGA development card was introduced to the system and hardware simulation path was applied for single and double drive values. In the chaotic system discussed, a separate nonlinear element is required for each behavior. These nonlinear element values vary on the Simulink and XSG platforms. In these values, adjustments were made according to the chaotic behavior of the model. In the realized model, a single PPD structure was used. It is sufficient to enter only the number of fumes as input. In the model, subsystem blocks are used in order to better understand them by using blocks as simple as possible.