Memristor based four-wing hyper-chaos system establishing method and circuit implementation

Abstract

The invention relates to a memristor based four-wing hyper-chaos system establishing method and circuit implementation. An operational amplifier U1, an operational amplifier U2, an operational amplifier U3 and resistor and capacitor implementation addition, opposition and integral operations are used, and a multiplying unit U4, a multiplying unit U5, a multiplying unit U6 and a multiplying unit U7 are used for achieving the multiplying in the chaos system. An operational amplifier U8 and a multiplying unit U9, a multiplying unit U10 and the capacitors are used for achieving a memristor model. The operational amplifier U1 is connected with the multiplying unit U5, the multiplying unit U7, the operational amplifier U2 and the operational amplifier U3. The multiplying unit U4 is connected with the operational amplifier U1, the multiplying unit U5 is connected with the operational amplifier U2, the multiplying unit U6 and the multiplying unit U7 are connected with the operational amplifier U3, and the operational amplifier U8 is connected with the multiplying unit U9 and the multiplying unit U10. By means of the system, on the basis of a three-dimensional chaos system, a memristor is used for adding one dimension to form the four-dimensional hyper-chaos system, and the formed four-dimensional hyper-chaos system has four-wing attractors.

Description

technical field [0001] The invention relates to a chaotic system and circuit realization, in particular to a construction method and circuit realization of a memristor-based four-wing ultra-chaotic system. Background technique [0002] At present, the method of constructing four-dimensional hyperchaotic is mainly to add one dimension to form a four-dimensional hyperchaotic system on the basis of the three-dimensional chaotic system. Memristor, as a new physical component discovered by Hewlett-Packard Laboratory in 2008, can replace Chua's diode in Chua's circuit To form a four-dimensional chaotic system, two memristive elements are needed to form hyperchaos in Chua's circuit, so a five-dimensional or more system is required, and there are relatively few system circuits that realize hyperchaos in a four-dimensional system with memristive elements , a memristive hyperchaotic system with four-wing attractors has not been proposed yet, which is the deficiency of the existing tec...

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Problems solved by technology

[0002] At present, the method of constructing four-dimensional hyperchaotic is mainly to add one dimension to form a four-dimensional hyperchaotic system on the basis of the three-dimensional chaotic system. Memristor, as a new physical component discovered by Hewlett-Packard Laboratory in 2008, can replace Chua's diode in Chua's circuit To form a four-dimensional chaotic system, two memristive elements are needed to form hyperchaos in Chua's circuit, so a five-dimensional or more system is required, and there are relatively few system circuits that realize hyperchaos in a four-dimensional system with memristive elements , a memristive hyperchaotic system with four-wing attractors has not been proposed yet, which is the shortcoming of the existing technology

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