Rossler–Hala Fuzzifying Chaotic Electronics System for Nonlinear Secure Logic and Information Compression Applications

This technical note introduces a high-entropy chaotic transceiver architecture based on the integration of memristive R¨ossler dynamics and a fuzzy-modulated Hala operator. By leveraging the cubic nonlinearity of the Hala term, we demonstrate a robust switching man- ifold that enables successive controlled collapses for high-speed digital embedding. The inclusion of a memristive fuzzy logic controller provides real-time parameter jitter, effectively eliminating periodic windows and ensuring the system remains in a high-divergence chaotic state. Experimental results confirm a near-maximal information entropy of 7.94 bits per symbol, significantly outperforming standard chaotic masking. The Fuzzy-Hala engine offers a scalable, low-power solution for secure nonlinear logic and ultra-dense information compression, particularly suitable for quantum-resistant IoT and neuromorphic hardware applications.