Research On Chaotic Synchronization And Chaotic Circuit Experiment

Chaotic circuit theory is an important branch of the modern non-linear science. The researches are primarily done on the theory and application of chaotic circuit, and the experiment of chaotic circuit plays a vital role between them.In the process of circuit design, the chaos requires higher components precision because of the sensitivity of its initial value, and it results in the hardware implementation of chaotic circuit being more difficult. Currently, the chaotic system is studied more theoretically, and hardware circuit implementation is researched less. Some chaotic circuits are set up in theory, but they are not necessarily able to achieve with hardware circuits. Especially, the modular design and implementation of actual circuit are more difficult for some larger chaotic systems.In this thesis, based on the deep study of chaos theory, the following works are completed:1. For the existing features of typical chaotic systems, their laws have been summarized and the integrated experimental circuit of chaos is designed and made. Using the integrated experimental circuit of chaos, we can finish a number of chaotic circuit experiments. The experimental circuit has the following functions: (1) According to the chaotic circuit knowledge, a variety of chaotic circuits can be self-designed. (2) The non-linear volt-ampere characteristic curve for non-linear circuit elements can be measured. (3) A variety of self-designed chaotic circuit waveforms or phase diagram, such as fixed points, cycles, chaos, etc, can be observed and measured. (4) The evolution of chaos is able to be observed and measured.2. Using self-designed experimental circuit, the experiments of circuit design and hardware circuit have been done for the Jerk system and the Lorenz system. The above-mentioned systems have been calculated numerically by MATLAB software. Besides, the circuit simulation is made using circuit design simulation software of EWB, and the experiment is finally processed by the hardware circuit. The results of numerical calculation and circuit simulation are in a good agreement with the results of experimental test, and the correctness of the design and experiment are proved.3. The method of synchronization for two chaotic systems with different structures is proposed using non-linear feedback control, and the simulation is done. The simulation results show that the conclusion is correct.In this thesis, the design and implementation of the integrated experimental circuit of chaos has practical significance to the experimental research of chaotic circuit and the teaching of non-linear circuits, and it has a certain theoretical significance and application prospects.