id: 06091581 dt: j an: 06091581 au: Liu, Yang; Li, Yonghua; Wang, Liyan ti: Chaotic dynamical systems with changeable-parameter and stream cipher systems. so: J. Liaoning Norm. Univ., Nat. Sci. 34, No. 4, 461-466 (2011). py: 2011 pu: Liaoning Normal University, Dalian la: ZH cc: ut: chaotic dynamical systems; stream cipher; invariant measure; correlation function ci: li: ab: Summary: In this paper, we firstly study the statistical properties of a chaotic dynamical system and obtain a new chaotic dynamical system which is formed after translation transform and the new statistical properties of the new chaotic dynamical system are obtained. The two dynamical systems have the same invariant measure and mean value, and the conclusion of Lebesgue measure is traversing. We further give the formula of the correlation function of the new chaotic dynamical system and derive the encryption and decryption arithmetic of the stream cipher in the chaotic dynamical systems with changeable-parameter. After the simulation experiment and the safety analysis to the algorithm, the results show that the algorithm has good effect to the encryption, and the relationship among the key, ciphertext and plaintext is sensitive and the correlation degree between ciphertext and plaintext is very small. It can availably resist statistical analysis and prevent the disclosure of the key and the plaintext information from the ciphertext. This algorithm has a larger secret space and uniform distributing ciphertext which provides a higher security of the system. rv: