Method for realizing fractional-order three-system automatic-switchover chaotic system and analog circuit

Abstract

The invention discloses a method for realizing the construction of a fractional-order three-system automatic-switchover chaotic system and an analog circuit. The method comprises the following steps: three chaoses and sub-chaoses form an automatic-switchover fractional-order system; the automatic-switchover fractional-order chaotic system is realized by the analog circuit; operational amplifiers U1, U2 and U3 adopt LF346; multiplying units U4 and U5 adopt AD633JN; a voltage comparator U6 adopts LM339; an analog switch U7 adopts CD4052; the operational amplifier U1is connected with the voltagecomparator U6, the analog switch U7, the multiplying unit U4 and the operational amplifier U2, the operational amplifier U2 is connected with the voltage comparator U6 and the analog switch U7; the operational amplifier U3 is connected with the operational amplifier U2 and the multiplying unit U4; and the analog switch U7 is connected with the multiplying unit U5; and the multiplying unit U5 is connected with the operational amplifier U3. In the method, the analog circuit is utilized to realize the fractional-order chaotic system in which three subsystems are switched automatically, and the fractional-order three-system automatic-switchover chaotic system is more complicated and has stronger randomness as compared with an automatic-switchover chaotic system composed of two chaotic subsystems and a non-switched fractional-order chaotic system. Therefore, the fractional-order three-system automatic-switchover chaotic system can be a new choice of the signal source of secret communication and has a better application prospect in the secret communication.

Description

technical field [0001] The invention relates to a method for realizing automatic switching of chaotic systems of three systems of fractional order by using an analog circuit, in particular to a method and an analog circuit for realizing automatic switching of chaotic systems of integer order and fractional order. Background technique [0002] There have been many reports on the methods and circuits for realizing integer-order and fractional-order chaotic systems with analog circuits, and the methods and circuits for realizing automatic switching of chaotic systems with digital circuits have also been reported, but there are few reports on the use of analog circuits to realize automatic switching of chaotic circuits. , and the reported automatic switching chaotic system and circuit is the switching of 2 sub-chaotic systems of integer order, there is no report on the automatic switching method and circuit of 3 sub-chaotic systems, and there is no report on the automatic switchi...

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Problems solved by technology

[0002] There have been many reports on the methods and circuits for realizing integer-order and fractional-order chaotic systems with analog circuits, and the methods and circuits for realizing automatic switching of chaotic systems with digital circuits have also been reported, but there are few reports on the use of analog circuits to realize automatic switching of chaotic circuits. , and the reported automatic switching chaotic system and circuit is the switching of 2 sub-chaotic systems of integer order, there is no report on the automatic switching method and circuit of 3 sub-chaotic systems, and there is no report on the automatic switching of fractional order automatic switching chaotic system. The present invention Provides a method and analog circuit of a chaotic system with automatic switching of three fractional systems, enriches the number and types of automatic switching chaotic systems, provides a new choice of secure communication signal source, and has a good application prospect

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