The Research On Chaotic Theory And Chaotic Oscillator

Chaos is a kind of seeming random, chance or irregular movement, which appears in a definiteness system. Chaos theory has been developed since 70's 20 century. Great achievement has been gained in theoretical study of chaos over the past several decades. After all, it's a band-new discipline, it's not mature and need perfect. There are lots of chaotic phenomena in the world, such as Lorenz system in the meteorology, Chau circuit system and so on. On the one hand, because chaotic system is extremely sensitive to the initial condition which make the chaotic output not meet people's demand, even imperil us, we always need control or restrain chaos in many practical systems. On the other hand, the chaotic system is beneficial to other systems (such as the application to the secure communications). The researches on chaos theory will have theoretical significance and real applied value.First of all, the thesis introduced chaos concept, the essence of chaos and primary character of chaos signal is discussed and analyzed deeply. Based above the content, chaos theory is studied deeply, the method of research on chaos is pointed out, the character of chaos movement, the path of leading to chaos and the way of judging chaos are analyzed deeply.Secondly, the paper discussed the application of chaos secure communication. The theory principle, realizing method and the problem of chaos secure communication are discussed deeply. And the application of chaos theory in other field is also discussed.Finally, chaotic oscillator using a FDNR (frequency dependent negative resistor) is studied deeply. Chaotic oscillator using a FDNR realized by OTA (operational transconductance amplifiers) or CCII (current conveyors II) is proposed, and PSpice and Matlab simulation results are given. Chaos oscillators realized by OTA or CCII have many advantages, so they will apply widely.