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Adaptive synchronization method and circuit of memristor-based x-power-including Chen hyper-chaotic system

A technology of chaotic systems and memristors, applied in transmission systems, digital transmission systems, electrical components, etc., can solve the problems that the memristor synchronization method has not been proposed

Inactive Publication Date: 2016-01-20
王春梅
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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 Lu 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 memristors to propose a Chen hyperchaotic system containing x squares, and on this basis, proposes an adaptive synchronization method for this chaotic system

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  • Adaptive synchronization method and circuit of memristor-based x-power-including Chen hyper-chaotic system
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  • Adaptive synchronization method and circuit of memristor-based x-power-including Chen hyper-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 memristor containing x square Chen hyperchaotic system, is characterized in that, comprises the following steps:

[0045] (1) The three-dimensional Chen chaotic system i is:

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

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Abstract

The invention relates to a chaotic system synchronization method and circuit, in particular to an adaptive synchronization method and circuit of a memristor-based x-power-including Chen hyper-chaotic system. As a physical element being newly discovered by the HP Labs in 2008, a memristor can construct a chaotic system instead of a Chua's diode in a Chua's circuit, and can be added into a three-dimensional chaotic system such as a Lorenz system, a Chen system and a Lorenz system as an element, thereby forming a hyper-chaotic system. At present, a method and a circuit for forming chaos or hyper-chaos by taking the memristor as an element are already put forward. However, a synchronization method for forming the hyper-chaos system by taking the memristor as an element is not put forward yet, which is a defect in the prior art. The invention provides the x-power-including Chen hyper-chaotic system by using the memristor, and provides the adaptive synchronization method of the chaotic system on the 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 Chen hyperchaotic system based on a memristor containing x 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 Lu 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 Chen hyperchaotic system containing x square by using memristor, and proposes an ad...

Claims

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Application Information

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IPC IPC(8): H04L9/00
Inventor 王春梅
Owner 王春梅
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