Designing a 2D chaotic map with two discrete memristors: boosting chaos and encryption scheme

Abstract Due to excellent pseudo-random performance, chaotic systems are often applied in the fields of cybernetics, cryptology. However, many chaotic systems have poor chaotic property eg, narrow output range and lower complexity. For a pseudo-random number generator (PRNG) which can output pseudo-random number signal (PRNS), all these have negative effects on its practical application. To better solve these problem, this research designs a novel two-dimensional memristive boosting chaotic map (2D-MBCM). Along with several 2D discrete systems, 2D-MBCM has advantages in both generation time with sequence and system performance, it is of great significance for reducing the computing costs. Finally, by using field-programmable gate array (FPGA) platform, the boosting signals of 2D-MBCM are realized. The experiment result reflects the viability of its engineering application.