Research And Implementation Of Chaotic System Circuit With Wide Spectrum Frequency

Since the American meteorologist Lorenz discovered the first chaotic system in 1963,chaos has become a hot topic in engineering research.Due to its complex dynamics,it can be widely used in chaotic encryption,image processing,image compression and communication systems.In recent years,with the development of electronic technology,the realization of analog hardware circuits has further promoted theory and the application of chaotic systems.In the field of engineering,however,the range of frequency spectrum of signals has been improved.While the spectrum of signals generated from traditional chaotic circuits can't meet the needs of applications.The chaotic circuit realized by current transmitters,diode devices,and integrated circuits can generate signals with wide chaotic spectrums.And it has expanded the range of application and overcome the defects of chaotic circuits implemented by operational amplifiers.In general,the implementation of a wide-spectrum chaotic circuits is researched in this paper.The main contents and innovations of this article are as follows:(1)the dynamic behaviors of the third-order SC-CNN systems has been researched through theoretical derivation and numerical simulation,and a third-order SC-CNN circuit constructed by current transmitter is proposed.This circuits has the advantage of wider spectrum than the circuits constructed by traditional operation amplifiers.Finally,the Pspice simulation and the hardware circuits is implemented.The results observed from the oscilloscope verified the correctness of this design.(2)A non-linear saturation circuit which is composed of a diode bridge and a current transmitter is proposed.It realizes the non-linear function of triangular wave.We applied the circuit to multi-scroll Jerk system.It is proved that the circuit can produce multi-scroll chaotic attractors by the results of Pspice circuit simulation.In order to compare the frequency characteristics of chaotic signals,a multi-grid Jerk system chaotic circuit based on the structure of operational amplifiers was designed.The simulation results show that the frequency characteristics of chaotic system signals based on non-linear circuits constructed by diodes are better than that of operational amplifiers.(3)A four-dimensional hyperchaotic system is constructed.The dynamic behavior of hyperchaotic systems is analyzed through theoretical derivation and numerical simulation.The integrated circuit of the hyperchaotic system is built.Results of Pspice circuit simulation show that the chaotic circuit realized via the integrated method is beneficial to reduce the power consumption.In addition,analysis of the spectrum characteristics of the signal is provided,and the signal frequency characteristics of chaotic circuit achieved through integration are superior to the chaotic circuits implemented by discrete components.Finally,the results of circuit simulation is consistent with that of numerical simulation,which proves the correctness of the design.