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Switching method and circuit of Lu chaotic system with different fractional orders and y<2>

A fractional-order, switching system technology, applied in the direction of digital transmission system, transmission system, electrical components, etc., can solve the problem of increasing the type of chaotic system switching, not being raised, etc.

Inactive Publication Date: 2015-06-10
SICHUAN UNIV
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Problems solved by technology

[0002] At present, the existing methods and circuits for switching chaotic systems mainly include the switching between different linear items or nonlinear items in the chaotic system, and the fractional order form based on these two switching modes. Regarding the fractional order chaos of different orders The switching method and circuit of the system have not been proposed yet, and the present invention proposes a method with different fractional orders containing y 2 of Chaotic switching system method and circuit, the present invention proposes a novel switching method and circuit of a new type of chaotic system, which provides a new idea for increasing the switching type of chaotic system and applying this chaotic system to engineering practice

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  • Switching method and circuit of Lu chaotic system with different fractional orders and y&lt;2&gt;
  • Switching method and circuit of Lu chaotic system with different fractional orders and y&lt;2&gt;
  • Switching method and circuit of Lu chaotic system with different fractional orders and y&lt;2&gt;

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Embodiment Construction

[0030] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 3 .

[0031] 1. A kind of y with different fractional order 2 of The chaotic switching system method is characterized in that it comprises the following steps:

[0032] (1) with y 2 of The equation of chaotic system i is:

[0033] dx / dt = a ( y - x ) dy / dt = cy - cz i a = 36 , ...

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Abstract

The invention provides a switching method and circuit of Lu chaotic system with different fractional orders and y<2>. An operational amplifier U1, an operational amplifier U2, a resistor and a capacitor constitute an inverter summator and different-order fractional order inverted integrator, a multiplying unit U3 and a multiplying unit U4 are adopted to achieve multiplying, and an analog switch U5 is adopted to achieve selective output of analog signals, wherein LF347Ds serve as the operational amplifier U1 and the operational amplifier U2, AD633JNs serve as the multiplying unit U3 and the multiplying unit U4, an ADG888 serves as the analog switch U5, the operational amplifier U1 is connected with the multiplying unit U3, the multiplying unit U4 and the analog switch U5, the operational amplifier U2 is connected with the multiplying unit U3 and the analog switch U5, the multiplying unit U3 is connected with the operational amplifier U1, the multiplying unit U4 is connected with the operational amplifier U2, and the analog switch U5 is connected with the operational amplifier U1 and the operational amplifier U2. The novel switching method and circuit of the novel chaotic system provide a new idea for increasing of chaotic system switching types and the application of the chaotic system to engineering practice.

Description

technical field [0001] The present invention relates to a chaotic system and circuit realization, in particular to a kind of 2 of Chaotic switching system method and circuit. Background technique [0002] At present, the existing methods and circuits for switching chaotic systems mainly include the switching between different linear items or nonlinear items in the chaotic system, and the fractional order form based on these two switching modes. Regarding the fractional order chaos of different orders The switching method and circuit of the system have not been proposed yet, and the present invention proposes a method with different fractional orders containing y 2 of Chaotic switching system method and circuit, the present invention proposes a novel switching method and circuit of a new type of chaotic system, which provides a new idea for increasing the switching type of chaotic system and applying the chaotic system to engineering practice. Contents of the invention...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
Inventor 魏震波
Owner SICHUAN UNIV