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Adaptive synchronization method and circuit for memristor-based Lorenz hyperchaotic system

A technology of chaotic systems and memristors, applied in transmission systems, digital transmission systems, electrical components, etc., can solve problems such as synchronization methods not proposed

Inactive Publication Date: 2015-12-02
胡春华
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Problems solved by technology

[0002] 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 chaotic system, and can also be added as a component to a three-dimensional chaotic system such as: Lorenz system, Chen system and Lorenz system to form Hyperchaotic system, at present, the method and circuit of memristor as a component to form chaos or hyperchaos have been proposed, but the synchronization method of using memristor as a component to form a hyperchaotic system has not yet been proposed, which is the limitation of the prior art Weaknesses, the present invention utilizes the memristor to propose a Lorenz hyperchaotic system, and on this basis proposes an adaptive synchronization method for this chaotic system

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Embodiment Construction

[0043] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 8 .

[0044] 1. an adaptive synchronization method based on the Lorenz hyperchaotic system of memristor, is characterized in that, comprises the following steps:

[0045] (1) Lorenz chaotic system i is:

[0046] d x / d t = a ( y - x ) d y / d t = b ...

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Abstract

The invention relates to chaotic system synchronization and a circuit, and especially relates to an adaptive synchronization method and circuit for a memristor-based Lorenz hyperchaotic system. As a newfound physical component in Hewlett-Packard Laboratories of 2008, the memristor can replace a Chua's diode in a Chua's circuit to form the chaotic system, and can also be added to three-dimensional chaotic systems as a component, such as a Lorenz system, a Chen system and a Lorenz system to form a hyperchaotic system; at present, the method and circuit of forming chaos or hyperchaos by taking the memristor as a component have been proposed, but a synchronization method for forming the hyperchaotic system by taking the memristor as a component has not been proposed yet and this is the disadvantage of the prior art; the invention provides a Lorenz hyperchaotic system by using the memristor, and the adaptive synchronization method of the chaotic system is provided on this basis.

Description

technical field [0001] The invention relates to a chaotic system synchronization and a circuit, in particular to an adaptive synchronization method and a circuit of a Lorenz hyperchaotic system based on a memristor. Background technique [0002] 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 chaotic system, and can also be added as a component to a three-dimensional chaotic system such as: Lorenz system, Chen system and Lorenz system to form Hyperchaotic system, at present, the method and circuit of memristor as a component to form chaos or hyperchaos have been proposed, but the synchronization method of using memristor as a component to form a hyperchaotic system has not yet been proposed, which is the limitation of the prior art For the disadvantages, the present invention proposes a Lorenz hyperchaotic system by using memristors, and on this basis, proposes an adaptive synchroni...

Claims

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Application Information

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IPC IPC(8): H04L9/00
Inventor 胡春华
Owner 胡春华
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