Non-inductor Chua's circuit

A Chua's circuit, non-inductive technology, applied in the field of nonlinear circuits, can solve the problems of high cost, poor quality, and difficult debugging of chaotic application circuits, and achieve high stability and simple structure

Inactive Publication Date: 2008-10-29
STATE GRID CORP OF CHINA +2
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

But the classic Chua's circuit has the following problems: (1) It must have an inductor close to idealization, and the actual inductor in engineering cannot be made into an inductor close to idealization; (2) It is not possible to directly use an oscilloscope to observe the inductor current ; (3) Circ

Method used

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  • Non-inductor Chua's circuit

Examples

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Embodiment 1

[0024] Such as figure 1 As shown, the non-inductor Chua's circuit provided by the present invention includes a first inverting integrator 1, a second inverting integrator 2, a third inverting integrator 3, an inverting limiting nonlinear circuit 4, an inverting amplifier 5 and Inverting adder 6, the output terminal X7 of the first inverting integrator 1 is respectively connected with an input end of itself, the input end of the inverting limiting nonlinear circuit 4, and an input end of the inverting adder 6; the second inverting The output terminal Y8 of the phase integrator 2 is connected with an input terminal of itself, the input terminal of the third inverting integrator 3, and the input terminal of the inverting amplifier 5; the output terminal Z9 of the third inverting integrator 3 is connected with the inverting addition An input terminal of the device 6 is connected; an output terminal of the inverse limiting nonlinear circuit 4 is connected with an input terminal of ...

Embodiment 2

[0060] Embodiment 2 is the first incompletely optimized non-inductor Chua's circuit of embodiment 1, see Figure 6 , the fifth resistor R in the fully optimized non-inductor Chua circuit 5 by the fourteenth resistor R 14 , the fifteenth resistance R 15 , the seventh operational amplifier U 7 , the sixteenth resistor R 16 to replace, where: the seventh operational amplifier U 7 The non-inverting input terminal is grounded, and the seventh operational amplifier U 7 The fifteenth resistor R is connected between the inverting input terminal and the output terminal 15 , the fourteenth resistor R 14 One end is connected with the seventh operational amplifier U 7 The inverting input terminal is connected, and the other terminal is connected to the first operational amplifier U 1 output connection, the sixteenth resistor R 16 One end is connected with the seventh operational amplifier U 7 The output end is connected, and the other end is connected with the second operational...

Embodiment 3

[0063] Embodiment 3 is the second not fully optimized circuit of Embodiment 1, see Figure 7 , the seventh resistor R in the fully optimized non-inductor Chua's circuit 7 by the fourteenth resistor R 14 , the fifteenth resistance R 15 , the seventh operational amplifier U 7 , the sixteenth resistor R 16 to replace, the seventh operational amplifier U 7 The non-inverting input terminal is grounded, and the fifteenth resistor R is connected between the inverting input terminal and the output terminal. 15 , the fourteenth resistor R 14 One end and the second operational amplifier U 2 The inverting input terminal is connected, and the other terminal is connected to the second operational amplifier U 2 output connection, the sixteenth resistor R 16 One end and the second operational amplifier U 2 The output end is connected, and the other end is connected with the second operational amplifier U 2 The inverting input terminal is connected; the rest of the circuit structure...

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PUM

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Abstract

The invention discloses a noninductive Cai's circuit, comprising three anti-phase integrators, an anti-phase limiting nonlinear circuit, an anti-phase amplifier and an anti-phase adder. An output terminal X of a first anti-phase integrator is respectively connected with one input terminal itself, an input terminal of the anti-phase limiting nonlinear circuit and an input terminal of the anti-phase adder; an output terminal Y of a second anti-phase integrator is respectively connected with one input terminal itself, an input terminal of a third anti-phase integrator and the input terminal of the anti-phase amplifier; an output terminal Z of a third anti-phase integrator is connected with one input terminal of the anti-phase adder, and the output terminal of the anti-phase limiting nonlinear circuit is connected with one input terminal of the first anti-phase integrator, and the output terminal of the anti-phase amplifier is connected with one input terminal of the first anti-phase integrator, and the output terminal of the anti-phase adder is connected with one input terminal of the second anti-phase integrator. The noninductive Cai's circuit has simple structure, high accuracy and better stability, and can provide waveforms corresponding to each algebraic item of the mathematic expression of the Cai's circuit.

Description

technical field [0001] The invention belongs to nonlinear circuits (often called chaotic circuits), in particular to a non-inductance Chua's circuit. Background technique [0002] Classic Chua's circuit is a chaotic circuit, which is widely used in chaos science education, chaos experiment teaching and science popularization demonstration, chaos measurement and control, chaos secure communication (including chaos concealment, chaos switch, chaos modulation) and other fields. But the classic Chua's circuit has the following problems: (1) It must have an inductor close to idealization, and the actual inductor in engineering cannot be made into an inductor close to idealization; (2) It is not possible to directly use an oscilloscope to observe the inductor current ; (3) Circuit debugging is difficult; (4) It is difficult to debug various chaotic application circuits composed of classic Chua's circuits, and the application related to chaotic synchronization technology is more di...

Claims

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Application Information

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IPC IPC(8): G09B25/00
Inventor 张新国史书军张剑锋
Owner STATE GRID CORP OF CHINA
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