Recently, chaotic systems are regarded as effective nonlinear sources in generating PRBS for their wonderful properties, including sensitivity on initial conditions and parameters, ergodicity, long-term unpredictability, and pseudorandomness. Pseudorandom bit sequence (PRBS) plays an important role in many fields, such as spread spectrum communication, numerical simulation, and cryptography. On the contrary, chaos has been widely used in almost all fields of science, engineering, and even humanities. However, the lack of general definition does not hinder the application of chaos. Till now, there is still no accurate mathematical definition which can cover all the performances of chaos. All these definitions focus on the different performances of chaos e.g., Li-York’s chaos focuses on the diffusion of chaotic trajectories, while Devaney’s chaos focuses on the topological properties. Among them, the most widely used definitions are Devaney’s chaos, Wiggins’ chaos, and Smale’s chaos. After then, for different kinds of systems, some other chaos definitions have been proposed. The first mathematical definition of chaos was proposed by Li and York in, which is widely used for one-dimensional iterative map. IntroductionĬhaos is an interesting nonlinear physical phenomenon which exists in the natural world. Both statistical and security tests are provided to show the generated sequences are with good randomness and high complexity to withstand attacks. A coding algorithm is used to make the sequences uniform. Furthermore, we propose a new pseudorandom bit generator (PRBG) based on this new system. This new system is proved to be chaotic under Wiggins’ chaos definition and can generate chaotic sequences with high complexity. Our online platform, Wiley Online Library () is one of the world’s most extensive multidisciplinary collections of online resources, covering life, health, social and physical sciences, and humanities.In this paper, a new chaotic system is proposed based on mixing three-dimensional Chen chaotic system with a chaotic tactics. With a growing open access offering, Wiley is committed to the widest possible dissemination of and access to the content we publish and supports all sustainable models of access. Wiley has partnerships with many of the world’s leading societies and publishes over 1,500 peer-reviewed journals and 1,500+ new books annually in print and online, as well as databases, major reference works and laboratory protocols in STMS subjects. Wiley has published the works of more than 450 Nobel laureates in all categories: Literature, Economics, Physiology or Medicine, Physics, Chemistry, and Peace. has been a valued source of information and understanding for more than 200 years, helping people around the world meet their needs and fulfill their aspirations.
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