CN202424737U - Fractional order chaos circuit containing absolute value function - Google Patents

Abstract

The utility model relates to a fractional order chaos circuit of an absolute value function. The fractional order chaos circuit comprises a first channel circuit, a second channel circuit, a third channel circuit and a function unit circuit. The first channel circuit is composed of a summator U1, a 0.9-order invert integrator U2, an inverter U3, a resistor R11, a resistor R12, a resistor R13, a resistor R14, a resistor Rx1 and a resistor Rx2. The second channel circuit is composed of a multiplying unit U10, a summator U4, a 0.9-order invert integrator U5, an inverter U6, a resistor R21, a resistor R22, a resistor R23, a resistor R24, a resistor Ry1, a resistor Ry2 and a resistor Ry3. The third channel circuit is composed of an absolute value circuit, a summator U7, a 0.9-order invert integrator U8, an inverter U9, a resistor R31, a resistor R32, a resistor R33, a resistor R34, a resistor Rz1 and a resistor Rz2.

Description

A kind of fractional order chaos circuit that contains ABS function

Technical field

The utility model relates to a kind of circuit, particularly a kind of fractional order chaos circuit that contains ABS function.

Background technology

The fractional order chaos system that contains ABS function does not appear in the newspapers, the utility model with Realization of Analog Circuit a fractional order chaos system that contains ABS function, enriched the kind and the quantity of fractional order chaos system.

Summary of the invention

The utility model provides a fractional order chaos circuit that contains ABS function.

The technical scheme of the utility model is following:

A kind of fractional order chaos circuit that contains ABS function; It is characterized in that: include first, second, third channel circuit and multiplier and ABS function element circuit; The first passage circuit is made up of adder U1,0.9 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, 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 absolute value circuit, adder U7,0.9 rank inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.

A kind of fractional order chaos circuit that contains ABS function; 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, behind the output signal process inverter U3, connects the adder that Ry1 acts on second channel; The output signal of second channel feeds back to self input through inverter U6; Connect Ry2 as one road input signal; Also connect Rx1 and act on the first passage circuit, act on the input of absolute value circuit, the output of absolute value circuit connects Rz2 and acts on the third channel circuit; The output signal feedback of third channel connects Rz1 as one road input signal to input, and the output signal is through inverter U9, and another road input signal that connects multiplier U10 acts on the second channel circuit.

The utility model has enriched the kind and the quantity of fractional order chaos 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 fractional order chaos circuit that contains absolute value 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:

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

In the formula, x, y, z are state variable, the parameter of each linear differential equation is determined value.The related circuit of the utility model includes first, second, third channel circuit and multiplier and ABS function element circuit; The first passage circuit is made up of adder U1,0.9 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, 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 absolute value circuit, adder U7,0.9 rank inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.

A kind of fractional order chaos circuit that contains ABS function; 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, behind the output signal process inverter U3, connects the adder that Ry1 acts on second channel; The output signal of second channel feeds back to self input through inverter U6; Connect Ry2 as one road input signal; Also connect Rx1 and act on the first passage circuit, act on the input of absolute value circuit, the output of absolute value circuit connects Rz2 and acts on the third channel circuit; The output signal feedback of third channel connects Rz1 as one road input signal to input, and the output signal is through inverter U9, and another road input signal that connects multiplier U10 acts on the second channel circuit.

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 Fig. 1, and 0.9 rank inverting integrator structure is identical.

Claims (2)

1. fractional order chaos circuit that contains ABS function; It is characterized in that: include first, second, third channel circuit and multiplier and ABS function element circuit; The first passage circuit is made up of adder U1,0.9 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, 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 absolute value circuit, adder U7,0.9 rank inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.

2. according to the said a kind of fractional order chaos circuit that contains ABS function of 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, behind the output signal process inverter U3, connects the adder that Ry1 acts on second channel; The output signal of second channel feeds back to self input through inverter U6; Connect Ry2 as one road input signal; Also connect Rx1 and act on the first passage circuit, act on the input of absolute value circuit, the output of absolute value circuit connects Rz2 and acts on the third channel circuit; The output signal feedback of third channel connects Rz1 as one road input signal to input, and the output signal is through inverter U9, and another road input signal that connects multiplier U10 acts on the second channel circuit.

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