In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor and symmetric attractors. By analyzing the equilibrium point of the system, it is proven that the system has the property of a hidden chaotic attractor. The dynamic behavior of the system when the three parameters change is analyzed by means of LEs and a Bifurcation diagram. Other phenomenon, such as chaos degradation, coexistence of multiple attractors and bias boosting, are also found. Finally, the simulation on the DSP platform also verifies the accuracy of the chaotic system simulation. The theoretical analysis and simulation results show that the system has rich dynamical characteristics; therefore, it is suitable for secure communication and image encryption and other fields.

In this paper, a new 5-D chaotic system with hidden attractor was presented. The stability and equilibrium points set of the system were analyzed by the traditional dynamical analysis method. Meanwhile, several special phenomena were found in the system, such as chaos degradation, state transition, multiwing chaotic attractors, coexisting-attractors etc. verifying the application of the system in engineering, offset boosting control method is introduced and numerical simulation of the system is implemented. In addition, the complexity of Spectral Entropy (SE) and C 0 are analyzed. Finally, the new system was simulated by the digital signal processing (DSP) technology, and the results agree well with the numerical simulation result. Theoretical analysis and simulation results show that the system has complex dynamical characteristics and can be applied to secure communication and image encryption.

In this article, a memristor chaotic system is constructed by introducing a cosine function flux control memristor. By analyzing the balance of the system, it is found that there are coexisting attractors, and because of the periodicity of cosine function, the chaotic system has infinite coexisting attractors. The complexity analysis of Spectral Entropy (SE) and C0 is used in this paper to intuitively show the complex dynamic characteristics of the system. In addition, the introduction of paranoid propulsion also provides more possibilities for the system in engineering applications. Finally, the digital signal processing (DSP) experiment verifies the correctness of theoretical analysis and numerical analysis.

The paper puts forward a simplified jerk circuit simulator, based on a simplified have resistance device emulator jerk circuit with unstable saddle points. According to the circuit structure, circuit of the dimensionless model is set up, in the simulation At the same time, many basic dynamic properties, such as stability and equilibrium, are analyzed. The dynamic characteristics in this system are analyzed by the commonly used dynamic analysis methods such as Lyapunov index and bifurcation diagram, and several special dynamic phenomena are observed. For instance: chaos, quasi-periodic, periodic, and some complex behavior. The research results, which will offer experimental basis and theoretical for the application of the chaotic system pseudorandom sequence in the field of public information security, for instance, digital communication security.