A new parameter determination method for some double-scroll chaotic systems and its applications to chaotic cryptanalysis

作者：Orue A B; Alvarez G^*; Pastor G; Romera M; Montoya F; Li Shujun

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(11): 3471-3483.

DOI：10.1016/j.cnsns.2009.12.017

• Chaos-based cryptography
• Lorenz's attractor
• Chua's attractor
• Cryptanalysis
• Parameter determination
• Projective chaos synchronization

This paper describes a method about how to determine parameters of some double-scroll chaotic systems, including the Lorenz system and the Chua's circuit, from one of its variables The geometric properties of the system are exploited firstly to reduce the parameter search space Then, a synchronization-based approach, with the help of the same geometric properties as coincidence criteria, is implemented to determine the parameter values with the wanted accuracy The method is not affected by a moderate amount of noise in the waveform. As an example of its effectiveness, the m

• 出版日期2010-11