A dynamic information flow control framework for hyperchaos in complex-variable systems and FPGA-based applications

Traditional chaotic systems suffer from dynamical degradation and fragile chaos caused by the fixed data flow direction in cryptographic applications. To address these limitations, this paper proposes a dynamic information flow control (DIFC) framework by introducing three novel operators to enable real-time control of information flow paths in complex-variable chaotic systems. The resulting DIFC-based complex-variable chaotic system (DIFC-CVCS) exhibits strong hyperchaotic behavior with strictly bounded trajectories and remains stable under 16-bit precision. The DIFC system achieves a near-ideal permutation entropy of average value 0.9992 and demonstrates robust chaotic properties. A pseudorandom number generator (PRNG) constructed from DIFC-CVCS passes all 15 NIST SP800-22 statistical tests with a 100% success rate. Hardware implementation on field-programmable gate arrays (FPGA) validates the practical feasibility of the design, achieving a throughput of 500 Mbps. The proposed control framework provides a new paradigm for designing high-performance and precision-resilient chaotic systems for secure applications.