Design of six-dimensional fractional-order hyperchaotic system and chaotic signal generator

Abstract

The invention discloses a six-dimensional fractional-order hyperchaotic system and a chaotic signal generator, and relates to the field of information encryption. The six-dimensional fractional-order hyperchaotic system disclosed by the invention is high in dimensionality; the system has more than two positive Lyapunov indexes, shows the hyperchaotic characteristic and obtains a more complex chaotic signal so as to improve safety of chaotic information encryption. Fractional-order differentiation has memory capacity, and is more suitable for characteristic description of a circuit system than the integer order. The six-dimensional fractional-order hyper system is used for outputting six paths of chaotic signals. A FPGA in the chaotic signal generator is used for generating a six-dimensional hyperchaotic system circuit; an six-path chaotic signal output end of the FPGA is respectively connected with digital signal input ends of a first path, second path, third path, fourth path, fifth path and sixth path of digital-to-analog converters; one end of a dial switch is connected with a power supply; the other end of the dial switch is respectively connected with power supply ends of the six paths of digital-to-analog converters; and signals output by the six paths of digital-to-analog converters are all voltage signals. The chaotic signal generator can provide a six-dimensional chaotic signal source which has various variable combination forms, is used for information encryption and has the excellent chaotic characteristic.

Description

Technical field: [0001] The invention relates to the design of a six-dimensional fractional supersystem and a chaotic signal generator used in the field of security communication security and chaotic digital communication, and relates to the fields of information encryption and the like. Background technique: [0002] The structure and analysis of chaotic systems is a hot topic in domestic and foreign research. There are two main types of chaotic systems: discrete chaotic systems and continuous chaotic systems. For the study of chaos in discrete dynamical systems, a set of rigorous theories and methods has been formed in mathematics, but it is not easy to generate continuous chaotic systems. A typical discrete chaotic system has a one-dimensional parabolic map (Logistic map) and a two-dimensional Henon map. There are many continuous chaotic systems, typical ones are generalized Lorenz system family, Rossler system, Chua system, Chen system, Lu system, Liu system, Qi system...

AI Technical Summary

Problems solved by technology

It is difficult for the chaotic system provided in the prior art to obtain the time-varying, diverse and complex multidimensional chaotic signals required for chaotic encryption, and the circuit implementation is difficult

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