A Self-Reproduction Hyperchaotic Map With Compound Lattice Dynamics

In this paper, sinusoidal functions are introduced to a discrete map for hyperchaos generation and attractor self-reproduction. The constructed map shares a unique structure with controllable symmetry and conditional symmetry, which exhibits compound lattice dynamics, including 1-D and 2-D attractor growth. The direction of attractor growth can be controlled under polarity balance. STM32-based circuit realization verifies the results with numerical simulation and theoretical analysis. A pseudo-random number generator is built finally based on the newly proposed hyperchaotic map proving the high performance in application.