The invention discloses an arbitrary-dimension simplest
memristor Hamilton conservative
chaotic system and a construction method and application thereof, and belongs to the technical field of
information security. According to the
system, a
voltage difference type three-terminal
memristor model is firstly built, then an n-dimensional Hamilton conservative
chaotic system general formula is built, the
memristor model is introduced into the n-dimensional Hamilton conservative
chaotic system general formula, the simplest system is obtained through the steps of element replacement, parameter setting and the like, and multi-scroll expansion can be achieved by introducing a nonlinear function. A system
mathematical model is simple, the proportion of nonlinear terms is low, hardware is constructed based on an ARTIX-7 FPGA platform, a 36Q32 format fixed-point number is adopted,
resource consumption is low, data
throughput is high, and output sequence randomness is high. The system can be applied to the fields of
artificial intelligence data enhancement and random
signal generation, provides a new path for high-dimensional conservative chaotic system modeling, and is suitable for
information security application of resource-limited scenes.