Two-dimensional Dynamic Coupled Mapping Lattice System Based on m-sequence and Spherical Cavity and Its Characteristics

In order to solve the problems of low dynamic complexity and high correlation between generated sequences in existing spatiotemporal chaotic systems,two-dimensional dynamic coupled map lattices system based on m-sequences and spherical cavity is proposed.The improved m-sequence is used to construct an iterative matrix,which is used to determine the index and perturbation symbol of the coupled objects of each lattice in the iterative process.The piecewise chaotic mapping constructed through a spherical cavity introduces controllable perturbations to the chaotic sequence.The dynamic characteristics of the system are evalua-ted by bifurcation diagram,regression mapping,Lyapunov exponent and K-entropy,while the correlation,uniformity,random-ness of the generated sequence and the computational complexity of the system are tested and verified.Simulation experiments and comparative analysis show that the system exhibits rich nonlinear dynamical behavior and superior performance metrics,including period doubling and bifurcation phenomena,with potential applications in data encryption,image encryption,and S-box generation.