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Chua's circuit realized based on hysteresis function

A technology of Chua's circuit and hysteresis function, which is applied in the field of Chua's circuit, can solve the problems that there is no research on the system equation of Chua's circuit, and the chaotic dynamic behavior of Chua's circuit cannot be improved, so as to achieve the effect of deepening understanding and enriching the chaotic system

Inactive Publication Date: 2016-08-10
HENAN VOCATIONAL COLLEGE OF APPLIED TECH +1
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] The application number is 2008101292162, and the publication number is CN 101295454A "A Non-Inductance Chua's Circuit", which is to realize the famous Chua's circuit with another form of circuit. There is no research on the system equation of Chua's circuit, and the designed circuit Does not improve the chaotic dynamic behavior of the original Chua circuit

Method used

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  • Chua's circuit realized based on hysteresis function
  • Chua's circuit realized based on hysteresis function
  • Chua's circuit realized based on hysteresis function

Examples

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Embodiment 1

[0029] refer to figure 2 , by the Chua's circuit that realizes with hysteresis function, it is characterized in that: be made of six operational amplifiers, and 14 resistances and three electric capacity, wherein: the first operational amplifier A 1 The inverting input terminal of the third resistor R 3 , the eighth resistor R 8 connection, the first op amp A 1 The non-inverting input of the first operational amplifier is grounded, and the first operational amplifier A 1 Connect the first resistance R in parallel between the inverting input terminal and the output terminal of 1 with the first capacitor C 1 , the first operational amplifier A 1 The output terminal with the ninth resistor R 9 , the thirteenth resistor R 13 connection, the first op amp A 1 The output terminal of is the X output terminal; the second operational amplifier A 2 The inverting input terminal of the fourth resistor R 4 connection, the second op amp A 2 The non-inverting input of the second o...

Embodiment 2

[0032] The first resistor R 1 , the second resistance R 2 , the third resistance R 3 , the fifth resistor R 5 , the thirteenth resistance R 13 and the fourteenth resistor R 14 Use a potentiometer instead, and change its resistance to observe various curves of the chaotic circuit evolution.

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Abstract

The invention relates to a Chua's circuit realized based on a hysteresis function. The Chua's circuit is composed of six operational amplifiers, fourteen resistors, and three capacitors. The operational amplifiers A1, A2, and A3 form an anti-phase integrator and the output terminals output chaotic signals X, Y, and Z; the operational amplifiers A4 and A6 form an inverting amplifier; and the operational amplifier A5 forms a hysteresis function circuit. When the circuit is in use, oscillograms of the X, Y, and Z can be observed on a common oscilloscope and X-Y, X-Z, and Y-Z phase graphs can be observed. The chaotic system of the Chua's circuit is enriched. The Chua's circuit is suitable for the chaotic science of the university, the experiment teaching and demonstration, science popularization, and experiment demonstration and the like. With the circuit, various chaotic wave forms, phase graphs, and chaotic development curves can be displayed. The circuit can be applied to the voice-analog-signal secret communication system widely.

Description

technical field [0001] The invention belongs to nonlinear circuits and systems, often called chaotic circuits, and specifically relates to a Chua's circuit realized by a hysteresis function. Background technique [0002] The chaotic system has a very rich dynamic behavior. Chua's circuit is the first bridge between the chaos theory and the chaotic circuit, which makes the application of the chaotic system have an engineering background. The chaotic system will be used in control, communication, mathematics, physics , biology and other fields have broad application prospects. [0003] The application number is 2008101292162, and the publication number is CN 101295454A "A Non-Inductance Chua's Circuit", which is to realize the famous Chua's circuit with another form of circuit. There is no research on the system equation of Chua's circuit, and the designed circuit The chaotic dynamic behavior of the original Chua circuit cannot be improved. Contents of the invention [000...

Claims

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Application Information

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IPC IPC(8): G09B23/18
CPCG09B23/183
Inventor 吕恩胜邵丹王磊王瑞娟王静
Owner HENAN VOCATIONAL COLLEGE OF APPLIED TECH
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