Adjustable rotating multi-wing chaotic system and IoMT medical image security encryption algorithm based on MWC-RLSC

Traditional methods for constructing multi-wing chaotic systems exhibit dramatically increasing structural complexity with the number of wings, requiring complete redesign for each adjustment and resulting in severely limited universality. To overcome these issues of structural complexity and poor controllability while addressing the urgent need for secure image transmission in medical Internet of Things (IoMT) environments, this paper proposes a novel method for constructing adjustable rotating multi-wing chaotic systems. Based on an improved model of the classical Liu chaotic system, this approach incorporates displacement rotation transformation and (N + 1)-level continuous pulse control. Through phase space, bifurcation diagram, and Poincaré section analysis, it demonstrates that adjusting the pulse level enables flexible regulation of the wing number (2N), thereby constructing a multi-wing chaotic system. The system exhibits stable chaotic properties across a wide parameter range and demonstrates excellent amplitude control capability. Building upon this foundation, a Multi-Winged Chaos System Random Latin Square Matrix (MWC-RLSC) image encryption algorithm tailored for IoMT is further proposed. This algorithm utilizes chaotic sequences to drive the generation of random Latin square matrices, achieving efficient encryption through a bidirectional parallel diffusion and obfuscation mechanism. Simulation experiments validate the security of the encryption system from multiple perspectives, including anti-interference capability and resistance to differential attacks. The results demonstrate that the algorithm achieves a favorable balance between security and efficiency, providing an effective solution for secure image transmission in medical IoT.