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Novel fractional order chaotic circuit

A chaotic circuit and fractional order technology, applied in the field of nonlinear circuits, can solve problems such as circuit optimization, redundant integrated chips and resistors, and achieve the effect of deepening understanding

Active Publication Date: 2013-03-13
HEFEI UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

However, the utility model patent does not optimize the circuit, and there are redundant integrated chips and resistors, and the utility model patent is still an ideal fractional order unit circuit, which only simulates the circuit, and is not an actual fractional order chaotic circuit.

Method used

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  • Novel fractional order chaotic circuit
  • Novel fractional order chaotic circuit
  • Novel fractional order chaotic circuit

Examples

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Embodiment 1

[0019] refer to figure 1 , this embodiment consists of two analog multipliers, eight operational amplifiers, and resistors and capacitors, where the second operational amplifier U 2 inverting input and the fourth resistor R 4 connection, the second operational amplifier U 2 The non-inverting input terminal is grounded, and the second operational amplifier U 2 Fractional order 1 / s connected between inverting input and output 0.95 The unit circuit H, the second operational amplifier U 2 The output terminal is the X output terminal, and the second operational amplifier U 2 The output terminal is connected to the fifth resistor R 5 ; Fifth operational amplifier U 5 The inverting input terminal and the tenth resistor R 10 connection, the fifth operational amplifier U 5 The non-inverting input terminal is grounded, and the fifth operational amplifier U 5 Fractional order 1 / s connected between inverting input and output 0.95 The unit circuit H, the fifth operational amplifi...

Embodiment 2

[0024] The seventh resistor R 7 Use a potentiometer instead to change the seventh resistor R 7 The resistance value can observe various curves of the evolution of the new fractional chaos.

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PUM

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Abstract

The invention discloses a novel fractional order chaotic circuit which comprises two analog multipliers, eight calculation amplifiers, resistors and capacitors. According to the novel fractional order chaotic circuit, oscillograms of X, Y and Z output ends can be observed on an ordinary oscilloscope, and X-Y, X-Z and Y-Z phase diagrams can also be observed. The novel fractional order chaotic circuit is based on an integer order chaotic system, the fractional order calculus theory and a fractional order unit circuit are applied, a frequency domain approximation method based on a bode diagram is adopted, a fractional order chaotic system is realized, and the understand of people on the fractional order chaotic system and the integer order chaotic system is deepened. The novel fractional order chaotic circuit is applicable to chaotic science, experiment teaching and demonstration, science popularization and experiment demonstration and the like in colleges.

Description

technical field [0001] The invention belongs to nonlinear circuits, in particular to a new fractional order chaotic circuit. Background technique [0002] The history of fractional calculus theory and integer order calculus theory is the same, but the development of fractional order calculus theory is slower. There are many fractal-dimensional facts in nature, and there are similar phenomena between integers and fractions. Some research results have been achieved in fractional chaos research, such as fractional chaos in chua system, Lorenz system, chen system, and Lü system. The successful application of fractional calculus in chaos makes fractional calculus play an important role as a mathematical tool in solving natural phenomena, and promotes the further development of fractional calculus theory. [0003] The application number is 201020669117.6, and the authorized announcement number is CN201910811U, a utility model patent "a fractional order chaotic circuit", which rea...

Claims

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Application Information

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IPC IPC(8): H04L9/00
Inventor 何怡刚吴先明罗旗舞于文新郑剑尹柏强
Owner HEFEI UNIV OF TECH
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