A class of two-dimensional offset-boostable chaotic maps

Abstract

Multi-dimensional offset boosting is an important issue for chaos application, specifically it provides a new channel to obtain multiple unipolar signals for multi-carrier chaotic communication or multi-dimensional chaotic regulation. The conditions for two-dimensional offset boosting could be derived based on the feedback in chaotic map. After exhaustive computer-aided numerical simulation, a class of chaotic maps with two-dimensional offset boosting are constructed, where the offset boosting for two state variables can be achieved through a parameter enabling them to be unipolar sequence simultaneously. Four modes of offset boosting are derived including in-phase offset boosting, anti-phase offset boosting, dual-parameter bidirectional offset boosting, and hybrid offset boosting. Finally, all the chaotic maps are implemented on the RISC-V platform with microcontroller CH32V307, demonstrating the controllability of two-dimensional offset boosting.