In this paper, a new numerical simulation approach is proposed for the study of open-loop frequency response of a chaotic masking system. Using Chua's circuit and the Lorenz system as illustrative examples, we have s...In this paper, a new numerical simulation approach is proposed for the study of open-loop frequency response of a chaotic masking system. Using Chua's circuit and the Lorenz system as illustrative examples, we have shown that one can employ chaos synchronization to separate the feedback network from a chaotic masking system, and then use numerical simulation to obtain the open-loop synchronization response, the phase response, and the amplitude response of a chaotic masking system. Based on the analysis of the frequency response, we have also proved that changing the amplitude of the exciting (input) signal within normal working domain does not influence the frequency response of the chaotic masking system. The new numerical simulation method developed in this paper can be extended to consider the open-loop frequency response of other systems described by differential or difference equations.展开更多
In this paper, a fractional order chaotic masking scheme used for secure communication is introduced. Based on the general projective synchronization of two coupled fractional Chen systems, a popular masking scheme is...In this paper, a fractional order chaotic masking scheme used for secure communication is introduced. Based on the general projective synchronization of two coupled fractional Chen systems, a popular masking scheme is designed. Numerical example is given to demonstrate the effectiveness of the proposed method.展开更多
文摘In this paper, a new numerical simulation approach is proposed for the study of open-loop frequency response of a chaotic masking system. Using Chua's circuit and the Lorenz system as illustrative examples, we have shown that one can employ chaos synchronization to separate the feedback network from a chaotic masking system, and then use numerical simulation to obtain the open-loop synchronization response, the phase response, and the amplitude response of a chaotic masking system. Based on the analysis of the frequency response, we have also proved that changing the amplitude of the exciting (input) signal within normal working domain does not influence the frequency response of the chaotic masking system. The new numerical simulation method developed in this paper can be extended to consider the open-loop frequency response of other systems described by differential or difference equations.
基金the Key Science Research Project of Southwest University for Nationalities under Grant No. 234778.
文摘In this paper, a fractional order chaotic masking scheme used for secure communication is introduced. Based on the general projective synchronization of two coupled fractional Chen systems, a popular masking scheme is designed. Numerical example is given to demonstrate the effectiveness of the proposed method.