Memristor-based chen-type hyperchaotic system circuit with x-square

Abstract

The invention relates to a construction method and circuit of a Chen type hyperchaotic system with x power based on a memristor. Additive operation, inversion operation and integral operation are achieved through an operational amplifier U1, an operational amplifier U2, an operational amplifier U3, a resistor and a capacitor, multiplication in the system is achieved through a multiplying unit U4 and a multiplying unit U5, a memristor model in the system is achieved through an operational amplifier U6, a multiplying unit U7 and a multiplying unit U8, the operational amplifier U1 is connected with the operational amplifier U2, the operational amplifier U6, the multiplying unit U4, the multiplying unit U5 and the multiplying unit U8, the operational amplifier U2 is connected with the operational amplifier U3 and the multiplying unit U4, the operational amplifier U3 is connected with the multiplying unit U5, the operational amplifier U6 is connected with the multiplying unit U7 and the multiplying unit U8, and the multiplying unit U7 is connected with the multiplying unit U8. On the basis of the Chen type chaotic system with the x power, one dimension is added through one memristor element to form the four-dimension hyperchaotic system, and a new method for applying the memristor to the hyperchaotic system is provided.

Description

technical field [0001] The invention relates to a chaotic system and circuit realization, in particular to a construction method and circuit of a Chen-type ultra-chaotic system containing an x-square based on a memristor. 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 , the method of memristor applied to the four-dimensional hyperchaotic system has not been proposed, which is the d...

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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 , the method of applying memristor to the four-dimensional hyperchaotic system has not been proposed, which is the deficiency of the existing technology

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