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Self-adaptive synchronization method and circuit for Lorenz hyperchaotic system including y squaredbased on memristor

A technology of chaotic system and memristor, applied in transmission system, synchronization device, digital transmission system, etc., can solve the problem that synchronization method is not proposed.

Inactive Publication Date: 2015-12-02
胡春华
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  • Abstract
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  • Claims
  • Application Information

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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 containing the y side, and on this basis, proposes an adaptive synchronization method for this chaotic system

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  • Self-adaptive synchronization method and circuit for Lorenz hyperchaotic system including y squaredbased on memristor
  • Self-adaptive synchronization method and circuit for Lorenz hyperchaotic system including y squaredbased on memristor
  • Self-adaptive synchronization method and circuit for Lorenz hyperchaotic system including y squaredbased on memristor

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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 memristor containing the Lorenz hyperchaotic system of y side, it is characterized in that, comprises the following steps:

[0045] (1) The Lorenz chaotic system i with y square is:

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

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Abstract

The invention relates to a synchronization method and circuit for a chaotic system, and in particular relates to a self-adaptive synchronization method and circuit for a Lorenz hyperchaotic system including y squared based on a memristor. The memristor is used as a physical component newly found in the hewlett-packard laboratory in 2008; the memristor not only can be used for replacing a chua's diode in a chua's circuit to form the chaotic system but also can be used as a component added into three-dimensional chaotic systems, such as a Lorenz system, a Chen system and the Lorenz system, so as to form the hyperchaotic system; currently, the chaotic or hyperchaotic method and circuit based on the memristor as one component are provided; but, the synchronization method of the hyperchaotic system based on the memristor as one component is still not provided, which is the deficiency in the prior art; the Lorenz hyperchaotic system including y squared is provided by utilizing the memristor; and the self-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 containing a y-square. 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 with y-side by utilizing the memristor, and prop...

Claims

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Application Information

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IPC IPC(8): H04L9/00H04L7/00
Inventor 胡春华
Owner 胡春华
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