Design And Applied Research On Several Types Of Chaotic Systems

The chaotic application research cannot be separated from the chaotic circuit, which can generate chaotic phenomena and chaos phenomena is widespread in nonlinear circuits. Traditional chaotic circuit is typical of analog circuits using discrete components, such as capacitors, inductors, resistors, integrated operational amplifier, and analog multiplier and so on. With the development of integrated circuits digital processing technology such as FPGA (Field Programmable Gate) and DSP (Digital Signal Processing) and so on,using the technology of FPGA and DSP to produce chaotic signals is gradually becoming a trend. At present, the chaotic circuit design based on the technology of FPGA and DSP is still in the design phase of the personalization. The design exist a lot of limitations. Among them, the biggest limitation is reflected in the non-expansion and non-replication. After the completion of a chaotic circuit designing, even if chaos state equation has only a little change, the circuit still needs to be designed from scratch. Therefore.research how to introduce the Soc design method of IP core module to the chaotic circuit design system based on the FPGA has great significance. It forms design system of chaos circuit of a set of parameters that can be configured IP core's, and promotes the development of chaos circuit application through the establishment of the IP core repository.This article study the possibility of design in the chaotic circuit based on IP core, the foundation to support of compositing the IP core chaotic circuit design, and the design process of the IP core chaotic circuit, and so on, based on reviewing that the traditional chaotic circuit produce chaotic phenomenon. Specific research includes:(1) explore and demonstrate the feasibility of design of the chaotic circuit based on IP core.(2)research the composition of the design in chaotic circuit based on the IP core, and put forward the design of chaotic circuit based on the IP core which can convert to the basic function IP core design and basic computing IP core design,based on researching the form of continuous chaotic state equations of the N-order dimensionless.(3) research the foundation to support of design of chaotic circuit based on the IP core,and put forward the thought of designing IP core management tools.(4) put forward the design process of the chaos circuit based on IP core, according to traditional FPGA design process,point that the process of design of the chaos circuit based on IP core will adopt IP module rather than the basic logic or circuit units as a basic unit, and choose appropriate IP module according to the needs to design integrated system using of existing IP resources.(5)research based on the digital communication security system based on adopting DES and RSA as of key exchange program which is the program of chaotic encryption and conventional encryption cascade. That is, using RSA public-key production algorithm as a key exchange scheme to encrypt the private key of the chaotic encryption and conventional encryption algorithm and to ensure the synchronization and security of chaos, to make a cascade scheme in the network communication more easy to implement.(6) realize the voice network transmission function based on chaotic encryption in the ARM development board by the form of software.and solve the problem of the floating-point precision differences between ARM board and PC in the development process. (7) Research the fragile watermarking technique based on the address code, on this basis, providing the framework of a precise positioning Chaotic Fragile digital Watermarking, the watermark not only is able to detect tampering but also perfectly position the area where the tampering occurred. (8) Propose a new method different from the traditional Chua's circuit design. To the polynomial produce chuas'chaotic attractor of three vortex roll as an example, through the approach of modular system design, design circuit to Chua's dimensionless equation of state.The study of this paper, get the following results:(1) Propose the design system of the chaos system based on configurable IP coreFirstly, demonstrate the feasibility of the design of the chaotic circuit of IP core through researching the general form of the N order dimensionless continuous chaotic state equations,and put forward the design of chaotic circuit based on the IP core which essentially can convert to the basic function IP core design and basic computing IP core design. Study the foundation to support of chaos circuit design of based on IP core, and propose the idea of designing IP core management tools as the foundation to support of the design of chaotic circuit based on the IP core. At the same time, give the design processes of chaotic circuit based on the configurable IP core. (2) Research a chaotic encryption and conventional encryption cascade program and apply it to digital secure communication system. Research and realize a chaotic encryption cascade DES and adopt RSA as secure communication system of key exchange scheme. Through the method of two chaotic system dynamic comparative instantaneous value, produce pseudo-chaotic sequence of numbers, and ensure each user to generate different pseudo-chaotic sequence of numbers through the method of setting up different user password; by using the method of chaotic encryption and DES encryption cascade to solve the problem which key space of chaotic encryption is small and to analyze fight against linear and differential cryptanalysis, at the same time, using RSA as key exchange programs, in order to ensure the security of network communications.(3)implement the voice network transmission function in ARM development board without DSP support in the form of software based on chaos encryption. Design and implement real-time voice secure communication system based on chaos theory and the system uses a digital chaotic secure communication scheme to achieve a secure voice communications from the development board to the computer. The system's workflow system is collecting from the development board, compressing and encrypting voice information using chaotic algorithm, and then transferring to the PC side. Then proceed with the chaotic decryption, decompression, and playing (and saving) the voice message. In this process, solve the problem about floating-point precision differences between ARM board and PC. Due to the difference of floating-point accuracy between the ARM development board and PC, we encrypt speech data through intercepting the first part of chaotic binary sequences. The fact illustrates the program is feasible.(4)research watermarking technology based on chaotic digital.and write the corresponding software.The digital watermarking IT based on discrete wavelet transformation is one of the focus of today's information security technologies field. This paper researches a chaotic encryption image watermarking algorithm based on discrete wavelet transform, Firstly encrypt two values right image information using chaotic sequence, then embed two values right image information in the discrete wavelet transform domain coefficients of the original image using chaotic sequence. The watermarking scheme not only contains volume the copyright information, but also has a double security. Chaotic series generator using the Logistic map and Hybrid mapping generates two chaotic sequence, and both adopt the improved nonlinear discrete. In addition, according to object-oriented thinking, the establishment of an abstract base class makes our algorithm adapt to a variety of image formats in program design.(5)by the module design method of chaotic circuits, the paper propose a new three-dimensional quadratic autonomous chaotic system.The system has four chaotic parameters and two nonlinear terms, the nonlinear terms in the second equation is product term,the nonlinear terms in the third equation is the cross-product term. It analyzes the system of basic dynamics problems including the characteristics of analysis of the equilibrium point and calculation of the bifurcation and the maximum lee's index calculation and so on, and takes computer numerical simulation, and then designs chaotic circuits by using modular approach to do the circuit experiments. According to theoretical analysis, computer simulations and circuit experiments confirm the chaotic features of the system by the theory analysis and computer simulation, and bifurcation and maximum lee's index calculation, and study the basic dynamic characteristics of the system. The chaos system of circuit design and experiment is conducted using the modular design, and experimental results are given. Results of circuit experiments and computer simulation are perfect, thus confirm the feasibility of this method.