Construction of a Class of High-Dimensional Discrete Chaotic Systems
Hongyan Zang, Jianying Liu, Jiu Li
Abstract
In this paper, a class of n-dimensional discrete chaotic systems with modular operations is studied. Sufficient conditions for transforming this kind of discrete mapping into a chaotic mapping are given, and they are proven by the Marotto theorem. Furthermore, several special systems satisfying the criterion are given, the basic dynamic properties of the solution, such as the trace diagram and Lyapunov exponent spectrum, are analyzed, and the correctness of the chaos criterion is verified by numerical simulations.
Topics & Concepts
ChaoticLyapunov exponentCorrectnessClass (philosophy)TRACE (psycholinguistics)Modular designMathematicsChaotic systemsSynchronization of chaosApplied mathematicsPure mathematicsComputer scienceControl theory (sociology)AlgorithmControl (management)LinguisticsPhilosophyArtificial intelligenceOperating systemChaos control and synchronizationChaos-based Image/Signal EncryptionQuantum chaos and dynamical systems