A class of discrete memristive hyperchaotic maps with multi-cavity multi-structure attractors and its application in secure communication

Memristors with nonlinearity and memorycharacteristics can effectively enhance chaotic dynamicscomplexity for chaotic maps. In this work, we present anovel discrete memristor model and couple it with sinemaps and iterative chaotic maps with infinite collapse(ICMIC) to construct a class of discrete memristive hyperchaoticmaps with multi-cavity multi-structure attractors.This class of multi-cavity multi-structure memristive sineICMIC modulation maps (MCMS-MSIMMs) possesses aninfinite variety of configurations, where the quantity andposition of coupled discrete memristors can be arbitrarilycombined. Numerical simulation results demonstrate thatthe sample map can exhibit hyperchaos, non-degeneracy,large-scale parameter control, multi-cavity attractors, multistructureattractors, and multi-cavity multi-structure attractors.The complexity and initial values of the system areexplored, revealing the high permutation entropy and initialoffset-boosting behavior. In addition, the FPGA-basedMCMS-MSIMM hardware circuit is designed, and the experimentalresults are consistent with the numerical results.Finally, MCMS-MSIMM is applied in secure communication,and the experimental results indicate that the proposedmap has better noise resistance performance compared toexisting maps.