Chain-type fractional-order integral circuit module based 0.5-order Lorenz chaotic system circuit

Abstract

The invention provides a chain-type fractional-order integral circuit module based 0.5-order Lorenz chaotic system circuit. A chain-type fractional-order integral circuit module is characterized in that a resistor Rx is connected with a capacitor Cx in parallel to form a first portion, a resistor Ry is connected with a capacitor Cy in parallel to form a second portion, a resistor Rz is connected with a capacitor Cz in parallel to form a third portion, a resistor Rw is connected with a capacitor Cw in parallel to form a fourth portion, cascade input pins PI1 and PI2 and an output pin P are connected to the first portion which is connected with an output pin P1 and the second portion, the second portion is connected with an output pin P2 and the third portion, the third portion is connected with an output pin P3 and the four portion, and the fourth portion is connected with an output pin P4 and cascade output pins PO1 and PO2. A chain-type structure is adopted, and a PCB (printed circuit board) circuit is designed and produced; a 0.5-order fractional-order integral circuit is composed of six portions, thereby being formed by serial connection of two chain-type fractional-order integral circuit module based circuits; the 0.5-order fractional-order chaotic system circuit implemented by the method is high in reliability and less prone to malfunctioning.

Description

technical field [0001] The invention relates to a general fractional-order integral circuit module and its 0.5-order chaotic system circuit realization, in particular to a 0.5-order Lorenz chaotic system based on a chained fractional-order integral circuit module and the realization of an analog circuit. Background technique [0002] Because the resistance and capacitance of the circuit to realize the fractional order chaotic system are unconventional resistance and capacitance, the method of connecting resistance in series and capacitance in parallel is generally used to realize it. At present, the main method of realization is to use the existing resistance and capacitance to combine on the breadboard. method, the reliability and stability of this method are relatively low, and there are problems such as error-prone and difficult to find after making mistakes. In order to overcome this problem, the present invention adopts a chain structure to design and manufacture a PCB c...

AI Technical Summary

Problems solved by technology

[0002] Because the resistance and capacitance of the circuit to realize the fractional order chaotic system are unconventional resistance and capacitance, the method of connecting resistance in series and capacitance in parallel is generally used to realize it. At present, the main method of realization is to use the existing resistance and capacitance to combine on the breadboard. method, the reliability and stability of this method are relatively low, and there are problems such as error-prone and difficult to find after making mistakes. In order to overcome this problem, the present invention adopts a chain structure to design and manufacture a PCB circuit. The circuit is composed of four parts. Each Part of it is a general-purpose fractional-order integration module circuit composed of four resistors and a potentiometer in series, and four capacitors in parallel. The 0.5-order fractional-order integration circuit is composed of six parts, so two general-purpose fractional-order integration module circuits are used. Composed in series, using this method to realize a 0.5-order fractional-order chaotic system circuit has high reliability and is not easy to make mistakes

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