Research on Multi-Scroll Chaotic Systems Based on Rotational Control and Their Applications in Complex Pattern Generation and Communication

Abstract This study conducts an in-depth exploration of the structural regulation and complex behaviors of multi-scroll attractors, overcoming the limitations of traditional chaotic systems in geometric morphology and functional applications. Based on the classical Chua's circuit, we construct a multi-scroll system using step function sequences and innovatively introduce a parametric rotational control mechanism. This key design not only successfully generates highly complex grid-like multi-scroll attractors but also achieves, for the first time, the generation of customized Chinese character patterns beyond regular geometric forms, significantly expanding the capabilities of chaotic systems in the field of complex dynamic pattern synthesis. Furthermore, we systematically evaluate the core value of the rotation-transformed chaotic system in communication applications. Under additive white Gaussian noise (AWGN) channel conditions, tests were conducted using the Reference-Shifted Differential Chaos Shift Keying (RS-DCSK) modulation technique. Experimental results demonstrate that, under specific parameter configurations, the rotational control system exhibits exceptional anti-interference performance, significantly reducing the bit error rate (BER) of the communication system and substantially enhancing communication reliability. This research not only provides new experimental evidence and design paradigms for multi-scroll attractor theory but also opens up novel application scenarios for chaotic systems: On one hand, it demonstrates immense potential in complex pattern generation (such as artistic design and information encryption carriers); on the other hand, it provides crucial technical support for developing highly robust chaotic secure communication systems. Finally, the successful hardware implementation based on a field-programmable gate array (FPGA) verifies the practical feasibility of the proposed methodology.