Method for classical Qi chaotic switching system with different fractional orders and circuit
A chaotic system and switching system technology, applied in the direction of digital transmission system, transmission system, electrical components, etc., can solve the problems that the chaotic system has not been proposed, increase the type of switching of the chaotic system, etc.
Active Publication Date: 2015-06-03
苏州汾湖投资集团有限公司
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[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. The present invention proposes a classical Qi chaotic switching system method and circuit with different fractional orders. The present invention proposes a novel switching method and circuit of a novel chaotic system. The switching type of chaotic system and the application of this chaotic system in engineering practice provide a new way of thinking
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[0032] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 3 .
[0033] 1, a kind of method that realizes the different classical Qi chaotic switching system of fractional order, it is characterized in that, comprises the following steps:
[0034] (1) The equation of the classical Qi chaotic system i is:
[0035] dx / dt = ρ ( y - x ) + yz dy / dt = αx - y - xz i ...
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The invention provides a classical Qi chaotic switching system method with different fractional orders and a circuit. The method comprises the steps that an operational amplifier U1, an operational amplifier U2, a resistor and a capacitor are used for constituting a phase reversal summator and a fractional order phase reversal integrator with different orders; a multiplying unit U3, a multiplying unit U4 and a multiplying unit U6 are used for achieving multiplication, and an analog switch U5 is used for achieving selection output of analog signals; the model of the operational amplifier U1 and the model of the operational amplifier U2 are LF347D, the model of the multiplying unit U3, the model of the multiplying unit U4 and the model of the multiplying unit U6 are AD633JN, and the model of the analog switch U5 is ADG888; the operational amplifier U1 is connected with the multiplying unit U3, the multiplying unit U4, the multiplying unit U6 and the analog switch U5; the operational amplifier U2 is connected with the multiplying unit U3, the multiplying unit U6 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, the analog switch U5 is connected with the operational amplifier U1 and the operational amplifier U2, and the multiplying unit U6 is connected with the operational amplifier U1. The novel switching method and circuit of a novel chaotic system are provided, and a new thought is supplied to adding the switching type of the chaotic system and enabling the chaotic system to be applied to engineering practice.
Description
technical field [0001] The invention relates to a chaotic system and circuit realization, in particular to a method and a circuit for realizing classical Qi chaotic switching systems with different fractional orders. 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. The present invention proposes a classical Qi chaotic switching system method and circuit with different fractional orders. The present invention proposes a novel switching method and circuit of a novel chaotic system. The switching type of chaotic system and the application of this chaotic system in engineering practice provide a new way of thinking. Contents o...
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IPC IPC(8): H04L9/00
Inventor 王春梅
Owner 苏州汾湖投资集团有限公司