Design and Analysis of Parameter-Controlled Multiscroll Memristive Chaotic System With Application to Secure Communication

Chaotic secure communication plays a critical role in ensuring the reliability and robustness of data transmission in the Internet of Things (IoT). Secure communication schemes driven by the multiscroll properties of memristive chaotic systems (MCSs) can enhance security performance. Numerous Multiscroll Memristive Chaotic Systems (MMCSs) have been developed to meet this demand, but most of them rely on nonlinear functions to regulate scroll numbers, resulting in increased complexity and limited applicability. To bridge this gap, this paper proposes a unique memristor model and couples it with a simple Sprott B system to construct a new MMCS, in which the number of scrolls is controlled by a single parameter. Endowed with the nonlinear function of the proposed memristor, the MMCS exhibits rich dynamical behaviors, such as numerous homogeneous and heterogeneous coexisting attractors, controllable partial and full amplitude modulation, and multiscroll offset boosting. Implementation on STM32 hardware also demonstrates that multiscroll structure in the MMCS is governed by a single parameter. Finally, the MMCS is applied to a code division multiple access reference-modulated differential chaos shift keying (DM-RM-DCSK) secure communication scheme, and its performance is validated by experimental results.