CN202444498U - Three-dimensional fractional order chaos circuit - Google Patents

Abstract

The utility model relates to a three-dimensional fractional order chaos circuit, which comprises a first, a second, a third channel circuits and a function unit circuit, wherein the first channel circuit is composed of an adder U1, 0.9 order inverting integrator U2, an inverter U3 and resistors R11, R12, R13, R14, Rx1 and Rx2; the second channel circuit is composed of a multiplier U10, an adder U4, 0.9 order inverting integrator U5, an inverter U6 and resistors R21, R22, R23, R24, Ry1, Ry2 and Ry3; and the third channel circuit is composed of a multiplier U11, an adder U7, 0.9 order inverting integrator U8, an inverter U9 and resistors R31, R32, R33, R34, Rz1 and Rz3.. The chaos circuit is applied in confidentiality communication, and the communication performance is improved.

Description

A kind of three-dimensional fractional order chaos circuit

Technical field

The utility model relates to a kind of circuit, particularly a kind of three-dimensional fractional order chaos circuit.

Background technology

Less with Realization of Analog Circuit fractional order chaos system circuit, the utility model with Realization of Analog Circuit a three-dimensional fractional order chaos system, this fractional order chaos system is used for the security performance that secure communication can improve system.

Summary of the invention

The utility model provides one to utilize a kind of three-dimensional fractional order chaos circuit of Realization of Analog Circuit.

The technical scheme of the utility model is following: a kind of three-dimensional fractional order chaos circuit; It is characterized in that: by forming by first, second, third channel circuit; The first passage circuit is made up of adder U1, function unit circuit 0.9 rank inverting integrator U2, inverter U3 and resistance R 11, R12, R13, R14 and Rx1, Rx2, and the second channel circuit is made up of multiplier U10, function unit circuit adder U4,0.9 rank inverting integrator U5, inverter U6 and resistance R 21, R22, R23, R24 and Ry1, Ry2, Ry3; The third channel circuit is made up of multiplier U11, adder U7, function unit circuit 0.9 rank inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R 34 and Rz1, Rz2.

A kind of three-dimensional fractional order chaos circuit according to claim 1; It is characterized in that: the output signal feedback of first passage circuit is to input; Connect Rx2 as one road input signal; This output signal also as the road input signal of multiplier U10 in the second channel circuit, connects the adder that Ry1 acts on second channel behind the output signal process inverter U3, acts on the multiplier U11 of third channel; The output signal of second channel feeds back to self input through inverter U6, connects Ry2 as one road input signal, also connects Rx1 and acts on the first passage circuit; The output signal feedback of third channel connects Rz1 as one road input signal to input, and the output signal acts on the second channel circuit through another road input signal that inverter U9 connects multiplier U10.Beneficial effect is used for the security performance that secure communication improves system.

Description of drawings

Fig. 1 is the utility model circuit diagram;

Fig. 2 is the X-Z phasor of the utility model;

Fig. 3 is the Y-Z phasor of the utility model.

Embodiment

A kind of three-dimensional fractional order chaos circuit that the utility model is related is used for the security performance that secure communication can improve secret signalling.

The related Mathematical Modeling of the utility model is following:

$\left\{\begin{array}{c}\frac{d^{0.9}x}{{\mathrm{dt}}^{0.9}}=20(y-x)\\ \frac{d^{0.9}y}{{\mathrm{dt}}^{0.9}}=14x+10.6y-\mathrm{xz}\\ \frac{d^{0.9}z}{{\mathrm{dt}}^{0.9}}=\mathrm{xy}-2.8z\end{array}\right.$

In the formula, x, y, z are state variable, the parameter of each linear differential equation is determined value.The related artificial circuit of the utility model is by being made up of first, second, third channel circuit; The first passage circuit is made up of adder U1, function unit circuit 0.9 rank inverting integrator U2, inverter U3 and resistance R 11, R12, R13, R14 and Rx1, Rx2, and the second channel circuit is made up of multiplier U10, function unit circuit adder U4,0.9 rank inverting integrator U5, inverter U6 and resistance R 21, R22, R23, R24 and Ry1, Ry2, Ry3; The third channel circuit is made up of multiplier U11, adder U7, function unit circuit 0.9 rank inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.The output signal feedback of first passage circuit is to input; Connect Rx2 as one road input signal; This output signal is also as the road input signal of multiplier U10 in the second channel circuit; Connect the adder that Ry1 acts on second channel behind the output signal process inverter U3, act on the multiplier U11 of third channel; The output signal of second channel feeds back to self input through inverter U6, connects Ry2 as one road input signal, also connects Rx1 and acts on the first passage circuit; The output signal feedback of third channel connects Rz1 as one road input signal to input, and the output signal acts on the second channel circuit through another road input signal that inverter U9 connects multiplier U10.The model of amplifier is LF347 in the circuit; The numerical value of VCC is 15V, and the multiplier ratio is 10V/1V; Resistance capacitance is standard component among the figure, and 0.9 rank inverting integrator structure is identical.

Claims (2)

1. three-dimensional fractional order chaos circuit; It is characterized in that: by forming by first, second, third channel circuit; The first passage circuit is made up of adder U1, function unit circuit 0.9 rank inverting integrator U2, inverter U3 and resistance R 11, R12, R13, R14 and Rx1, Rx2, and the second channel circuit is made up of multiplier U10, function unit circuit adder U4,0.9 rank inverting integrator U5, inverter U6 and resistance R 21, R22, R23, R24 and Ry1, Ry2, Ry3; The third channel circuit is made up of multiplier U11, adder U7, function unit circuit 0.9 rank inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.

2. a kind of three-dimensional fractional order chaos circuit according to claim 1; It is characterized in that: the output signal feedback of first passage circuit is to input; Connect Rx2 as one road input signal; This output signal also as the road input signal of multiplier U10 in the second channel circuit, connects the adder that Ry1 acts on second channel behind the output signal process inverter U3, acts on the multiplier U11 of third channel; The output signal of second channel feeds back to self input through inverter U6, connects Ry2 as one road input signal, also connects Rx1 and acts on the first passage circuit; The output signal feedback of third channel connects Rz1 as one road input signal to input, and the output signal acts on the second channel circuit through another road input signal that inverter U9 connects multiplier U10.

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