CN202737885U - Chaotic system containing sign function - Google Patents

Abstract

The utility model relates to a chaotic system containing a sign function. The chaotic system comprises a first channel circuit, a second channel circuit, a third channel circuit, multipliers and a sign function circuit, wherein the first channel circuit consists of an adder U1, an inverse integrator U2, an inverter U3 and resistors R11, R12, R13, R14 and Rx1 and Rx2; the second channel circuit consists of a multiplier U10, an adder U4, an inverse integrator U5, and inverter U6, and resistors R21, R22, R23, R24 and Ry1, Ry2 and Ry3; the third channel circuit consists of the sign function circuit, a multiplier U11, an adder U7, an inverse integrator U8, an inverter U9, and resistors R31, R32, R33, R34 and Rz1 and Rz2. The chaotic system containing the sign function enriches the variety and quantity of chaotic systems.

Description

The chaos system that contains sign function

Technical field

The utility model relates to a kind of chaos system, particularly a kind of chaos system that contains sign function.

Background technology

The chaos system that contains sign function is fewer, and the utility model has been realized a chaos system that contains sign function with analog circuit, has enriched kind and the quantity of chaos system.

Summary of the invention

The utility model provides a chaos system that contains sign function, and the technical solution of the utility model is as follows:

The described chaos system of sign function that contains is by first passage circuit, second channel circuit, third channel circuit and multiplier and sign function the electric circuit constitute, the first passage circuit is comprised of adder U1, inverting integrator U2, inverter U3 and resistance R 11, R12, R13, R14 and Rx1, Rx2, and the second channel circuit is comprised of multiplier U10, adder U4, inverting integrator U5, inverter U6 and resistance R 21, R22, R23, R24 and Ry1, Ry2, Ry3; The third channel circuit is comprised of sign function circuit, multiplier U11, adder U7, inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.

The described chaos system that contains sign function, the output signal of first passage circuit feeds back to input, contact resistance Rx2 is as one road input signal, this output signal is also as the road input signal of multiplier U10 in the second channel circuit, contact resistance Ry1 acts on the adder of second channel circuit behind the output signal process inverter U3, act on the input of sign function circuit, the output of sign function circuit connects another road input of multiplier U11; The output signal of second channel circuit feeds back to self input through inverter U6, and contact resistance Ry2 goes back contact resistance Rx1 and acts on the first passage circuit as one road input signal, acts on the road input of multiplier U11; The output signal of third channel circuit feeds back to input, and contact resistance Rz1 is as one road input signal, and output signal acts on the second channel circuit through another road input signal that inverter U9 connects multiplier U10.

The utility model has enriched kind and the quantity of chaos system.

Description of drawings

Fig. 1 is the utility model circuit diagram;

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

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

Embodiment

Below in conjunction with Fig. 1 the related Chaotic Systems of the utility model is described further, the utility model is related contains the sign function chaos system, is used for the security performance that secure communication can improve communication system.

The related Mathematical Modeling of the utility model is as follows:

$\left\{\begin{array}{c}\frac{\mathrm{dx}}{\mathrm{dt}}=20(y-x)\\ \frac{\mathrm{dy}}{\mathrm{dt}}=14x+10.6y-\mathrm{xz}\\ \frac{\mathrm{dz}}{\mathrm{dt}}=\mathrm{ysign}\left(x\right)-2.8z\end{array}\right.$

In the formula, x, y, z are state variable, the parameter of each linear differential equation is determined value.The chaos system that contains sign function that the utility model is related is by first passage circuit, second channel circuit, third channel circuit and multiplier and sign function the electric circuit constitute, the first passage circuit is comprised of adder U1, inverting integrator U2, inverter U3 and resistance R 11, R12, R13, R14 and Rx1, Rx2, and the second channel circuit is comprised of multiplier U10, adder U4, inverting integrator U5, inverter U6 and resistance R 21, R22, R23, R24 and Ry1, Ry2, Ry3; The third channel circuit is comprised of sign function circuit, multiplier U11, adder U7, inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.

The described chaos system that contains sign function, the output signal of first passage circuit feeds back to input, contact resistance Rx2 is as one road input signal, this output signal is also as the road input signal of multiplier U10 in the second channel circuit, contact resistance Ry1 acts on the adder of second channel circuit behind the output signal process inverter U3, act on the input of sign function circuit, the output of sign function circuit connects another road input of multiplier U11; The output signal of second channel circuit feeds back to self input through inverter U6, and contact resistance Ry2 goes back contact resistance Rx1 and acts on the first passage circuit as one road input signal, acts on the road input of multiplier U11; The output signal of third channel circuit feeds back to input, and contact resistance Rz1 is as one road input signal, and 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 Fig. 1.

Claims (2)

1. the chaos system that contains sign function, it is characterized in that: the described chaos system of sign function that contains is by first passage circuit, second channel circuit, third channel circuit and multiplier and sign function the electric circuit constitute, the first passage circuit is comprised of adder U1, inverting integrator U2, inverter U3 and resistance R 11, R12, R13, R14 and Rx1, Rx2, and the second channel circuit is comprised of multiplier U10, adder U4, inverting integrator U5, inverter U6 and resistance R 21, R22, R23, R24 and Ry1, Ry2, Ry3; The third channel circuit is comprised of sign function circuit, multiplier U11, adder U7, inverting integrator U8, inverter U9 and resistance R 31, R32, R33, R34 and Rz1, Rz2.

2. the described chaos system that contains sign function according to claim 1, it is characterized in that: the output signal of first passage circuit feeds back to input, contact resistance Rx2 is as one road input signal, this output signal is also as the road input signal of multiplier U10 in the second channel circuit, behind the output signal process inverter U3, contact resistance Ry1 acts on the adder of second channel circuit, acts on the input of sign function circuit, and the output of sign function circuit connects the road input of multiplier U11; The output signal of second channel circuit feeds back to self input through inverter U6, and contact resistance Ry2 goes back contact resistance Rx1 and acts on the first passage circuit as one road input signal, also acts on another road input of multiplier U11; The output signal of third channel circuit feeds back to input, and contact resistance Rz1 is as one road input signal, and output signal acts on the second channel circuit through another road input signal that inverter U9 connects multiplier U10.

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