More Diagonal Distributions of Coexisting Attractors

When periodic and other piecewise linear functions are introduced in a chaotic system with two-dimensional offset boosting for extra feedback, more patterns of diagonal distribution from coexisting attractors can be organized. In this study, the periodic function is implanted for attractor self-reproducing, while the signum function and absolute value function are integrated for the attractor symmetrization. For the offset interlocking across dimensions, the coexisting attractors can be reproduced in phase space with the shapes of “V” and “X”. Based on the FPGA platform, all the patterns are validated in a digital hardware environment confirming the consistency with simulation.