Construction method and circuit of memristor-based lorenz-type hyperchaotic system with x-square

Abstract

The invention relates to a construction method and a circuit of a memristor-based x-square-contained Lorenz type hyper-chaotic system. According to the construction method, addition, inversion and integral operation are realized by the aid of an operational amplifier U1, an operational amplifier U2, an operational amplifier U3, resistors and capacitors; multiplication in the system is realized by the aid of a multiplier U4 and a multiplier U5; a memristor model is achieved by the aid of an operational amplifier U6, a multiplier U7 and a multiplier U8; the operational amplifier U1 is connected with the operational amplifiers U2 and U6 and the multipliers U4, U5 and U8; the operational amplifier U2 is connected with the operational amplifier U3 and the multiplier U4; the operational amplifier U3 is connected with the multiplier U5, and the operational amplifier U6 is connected with the multipliers U7 and U8; the multiplier U7 is connected with the multiplier U8. The construction method and the circuit have the advantages that on the basis of the x-square-contained Lorenz type hyper-chaotic system, a memristor element is used for increasing one dimension to form a four-dimensional hyper-chaotic system, and a novel method of applying a memristor to the hyper-chaotic 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 Lorenz-type hyperchaotic 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 ...

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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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