CN204667744U - A kind of three rank four add three formula four wing hyperchaotic circuits - Google Patents
A kind of three rank four add three formula four wing hyperchaotic circuits Download PDFInfo
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- CN204667744U CN204667744U CN201520341093.4U CN201520341093U CN204667744U CN 204667744 U CN204667744 U CN 204667744U CN 201520341093 U CN201520341093 U CN 201520341093U CN 204667744 U CN204667744 U CN 204667744U
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Abstract
The utility model provides a kind of three rank four and adds three formula four wing hyperchaotic circuits, comprises four operational amplifiers and three analog multipliers, wherein: the first operational amplifier (A1) output terminal forms X output terminal; Second operational amplifier (A2) output terminal forms Y output terminal; 3rd operational amplifier (A3) output terminal forms Z output terminal; Four-operational amplifier (A4) is connected with the second analog multiplier (M2), the 3rd analog multiplier (M3); First analog multiplier (M1) is connected with the second operational amplifier (A2) and the 3rd operational amplifier (A3); Second analog multiplier (M2) is connected with four-operational amplifier (A4) and the 3rd operational amplifier (A3); 3rd analog multiplier (M3) is connected with four-operational amplifier (A4) and the second operational amplifier (A2).The utility model circuit structure is simple, and debugging is convenient and reliability is higher, is suitable for university's chaos education of science, experimental teaching and demonstration, scientific popularization experimental demonstration etc.
Description
Technical field
The utility model relates to a kind of chaos circuit, is specifically related to a kind of three rank four and adds three formula four wing hyperchaotic circuits.
Background technology
Multiple wing hyperchaotic circuit is a kind of chaos circuit often studied in the last few years, " Bifurcation of three-dimensional four wing chaos system and circuit realiration thereof " that available circuit structure was delivered as the phase in " HeFei University of Technology's journal " February the 2nd in 2014, this circuit is made up of eight operational amplifiers and three analog multipliers, circuit structure is complicated, not through optimization circuits, make this circuit cost when practical application higher, debugging more complicated, and circuit reliability is also lower.
Utility model content
The purpose of this utility model is the deficiency existed for prior art, provides a kind of structure simple and debug three rank four easily to add three formula four wing hyperchaotic circuits.
For this reason, the utility model adopts following technical scheme:
A kind of three rank four add three formula four wing hyperchaotic circuits, comprise four operational amplifiers and three analog multipliers, wherein: the inverting input of the first operational amplifier (A1) is connected with the 3rd resistance (R3), the 4th resistance (R4), in-phase input end ground connection, be connected the first electric capacity (C1) between inverting input with output terminal, output terminal is connected with the first resistance (R1) and forms X output terminal; The inverting input of the second operational amplifier (A2) is connected with the 5th resistance (R5), in-phase input end ground connection, be parallel with the 6th resistance (R6) and the second electric capacity (C2) between inverting input and output terminal, output terminal is connected with the first analog multiplier (M1) and the 3rd analog multiplier (M3) and forms Y output terminal; The inverting input of the 3rd operational amplifier (A3) is connected with the 7th resistance (R7), the 8th resistance (R8), in-phase input end ground connection, be connected between inverting input with output terminal and be parallel with the 9th resistance (R9) and the 3rd electric capacity (C3), output terminal is connected with the first analog multiplier (M1), the second analog multiplier (M2) and forms Z output terminal; The inverting input of four-operational amplifier (A4) is connected with the first resistance (R1), in-phase input end ground connection, be connected the second resistance (R2) between inverting input with output terminal, output terminal is connected with the second analog multiplier (M2), the 3rd analog multiplier (M3), the 3rd resistance (R3); The input end of the first analog multiplier (M1) is connected with the output terminal of the second operational amplifier (A2) and the 3rd operational amplifier (A3), and output terminal is connected with the 4th resistance (R4); The input end of the second analog multiplier (M2) is connected with the output terminal of four-operational amplifier (A4) and the 3rd operational amplifier (A3), and output terminal is connected with the 5th resistance (R5); The input end of the 3rd analog multiplier (M3) is connected with the output terminal of four-operational amplifier (A4) and the second operational amplifier (A2), and output terminal is connected with the 8th resistance (R8).
Further, described 3rd resistance (R3) is variable resistor, the various curves that the chaos in order to observe three rank four wing hyperchaotic circuits develops.
The beneficial effects of the utility model are: can export X, Y, Z tri-kinds of chaotic waves signals and X-Y, X-Z, Y-Z tri-kinds of chaos phasors, and can show above-mentioned various chaotic signal on oscillograph; After by some specific electrical resistance, such as the 3rd resistance (R3) is replaced by variable resistor, the chaotic characteristic of the above various chaotic signal can be changed, the various curves that three rank four wing chaos develop can be shown on oscillograph, other various experiment of three rank four wing chaos can also be carried out.Relative to existing three formula four wing hyperchaotic circuits, the utility model circuit structure is simple, and debugging is convenient and reliability is higher, is suitable for university's chaos education of science, experimental teaching and demonstration, scientific popularization experimental demonstration etc.
Accompanying drawing explanation
Fig. 1 is circuit theory diagrams of the present utility model;
Fig. 2 is that the X-Y of the utility model circuit exports phasor;
Fig. 3 is that the X-Z of the utility model circuit exports phasor;
Fig. 4 is that the Y-Z of the utility model circuit exports phasor;
Fig. 5 is the output waveform figure of the utility model circuit X output terminal;
Fig. 6 is the output waveform figure of the utility model circuit Y output terminal;
Fig. 7 is the output waveform figure of the utility model circuit Z output terminal.
Embodiment
As shown in Figure 1, a kind of three rank four add three formula four wing hyperchaotic circuits, comprise four operational amplifiers and three analog multipliers, wherein: the inverting input of the first operational amplifier (A1) is connected with the 3rd resistance (R3), the 4th resistance (R4), in-phase input end ground connection, be connected the first electric capacity (C1) between inverting input with output terminal, output terminal is connected with the first resistance (R1) and forms X output terminal; The inverting input of the second operational amplifier (A2) is connected with the 5th resistance (R5), in-phase input end ground connection, be parallel with the 6th resistance (R6) and the second electric capacity (C2) between inverting input and output terminal, output terminal is connected with the first analog multiplier (M1) and the 3rd analog multiplier (M3) and forms Y output terminal; The inverting input of the 3rd operational amplifier (A3) is connected with the 7th resistance (R7), the 8th resistance (R8), in-phase input end ground connection, be connected between inverting input with output terminal and be parallel with the 9th resistance (R9) and the 3rd electric capacity (C3), output terminal is connected with the first analog multiplier (M1), the second analog multiplier (M2) and forms Z output terminal; The inverting input of four-operational amplifier (A4) is connected with the first resistance (R1), in-phase input end ground connection, be connected the second resistance (R2) between inverting input with output terminal, output terminal is connected with the second analog multiplier (M2), the 3rd analog multiplier (M3), the 3rd resistance (R3); The input end of the first analog multiplier (M1) is connected with the output terminal of the second operational amplifier (A2) and the 3rd operational amplifier (A3), and output terminal is connected with the 4th resistance (R4); The input end of the second analog multiplier (M2) is connected with the output terminal of four-operational amplifier (A4) and the 3rd operational amplifier (A3), and output terminal is connected with the 5th resistance (R5); The input end of the 3rd analog multiplier (M3) is connected with the output terminal of four-operational amplifier (A4) and the second operational amplifier (A2), and output terminal is connected with the 8th resistance (R8).Wherein, the 3rd resistance (R3) is variable resistor, the various curves that the chaos in order to observe three rank four wing hyperchaotic circuits develops.
In the utility model embodiment, the parameter of each components and parts is as follows: A1, A2, A3, A4 model is TL082 or TL084, M1, M2, M3 model is AD633,
,
(variable resistor),
,
,
,
,
.
In the utility model circuit, X output terminal, Y output terminal, Z output terminal are connected respectively to oscilloscope signal input end or computing machine concerned interface, the waveform of X, Y and Z can be shown, oscillographic phasor mode is used to observe, X-Y output terminal phasor signal as shown in Figure 2, as shown in Figure 3, Y-Z output terminal phasor signal as shown in Figure 4 for X-Z output terminal phasor signal.By Fig. 2-4, demonstrate the validity of the utility model circuit.If the 3rd resistance R3 is replaced by variable resistor, continuously changing resistance value, the various curves that chaos develops can be observed, by two identical circuit through suitably connecting, the various experiments such as the synchronous of three rank four wing hyperchaotic circuits and chaotic secret communication can be carried out.
Claims (2)
1. rank four add three formula four wing hyperchaotic circuits, it is characterized in that, comprise four operational amplifiers and three analog multipliers, wherein: the inverting input of the first operational amplifier (A1) is connected with the 3rd resistance (R3), the 4th resistance (R4), in-phase input end ground connection, be connected the first electric capacity (C1) between inverting input with output terminal, output terminal is connected with the first resistance (R1) and forms X output terminal; The inverting input of the second operational amplifier (A2) is connected with the 5th resistance (R5), in-phase input end ground connection, be parallel with the 6th resistance (R6) and the second electric capacity (C2) between inverting input and output terminal, output terminal is connected with the first analog multiplier (M1) and the 3rd analog multiplier (M3) and forms Y output terminal; The inverting input of the 3rd operational amplifier (A3) is connected with the 7th resistance (R7), the 8th resistance (R8), in-phase input end ground connection, be connected between inverting input with output terminal and be parallel with the 9th resistance (R9) and the 3rd electric capacity (C3), output terminal is connected with the first analog multiplier (M1), the second analog multiplier (M2) and forms Z output terminal; The inverting input of four-operational amplifier (A4) is connected with the first resistance (R1), in-phase input end ground connection, be connected the second resistance (R2) between inverting input with output terminal, output terminal is connected with the second analog multiplier (M2), the 3rd analog multiplier (M3), the 3rd resistance (R3); The input end of the first analog multiplier (M1) is connected with the output terminal of the second operational amplifier (A2) and the 3rd operational amplifier (A3), and output terminal is connected with the 4th resistance (R4); The input end of the second analog multiplier (M2) is connected with the output terminal of four-operational amplifier (A4) and the 3rd operational amplifier (A3), and output terminal is connected with the 5th resistance (R5); The input end of the 3rd analog multiplier (M3) is connected with the output terminal of four-operational amplifier (A4) and the second operational amplifier (A2), and output terminal is connected with the 8th resistance (R8).
2. a kind of three rank four according to claim 1 add three formula four wing hyperchaotic circuits, it is characterized in that, described 3rd resistance (R3) is variable resistor.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201520341093.4U CN204667744U (en) | 2015-05-25 | 2015-05-25 | A kind of three rank four add three formula four wing hyperchaotic circuits |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201520341093.4U CN204667744U (en) | 2015-05-25 | 2015-05-25 | A kind of three rank four add three formula four wing hyperchaotic circuits |
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| Publication Number | Publication Date |
|---|---|
| CN204667744U true CN204667744U (en) | 2015-09-23 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201520341093.4U Expired - Fee Related CN204667744U (en) | 2015-05-25 | 2015-05-25 | A kind of three rank four add three formula four wing hyperchaotic circuits |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN204667744U (en) |
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2015
- 2015-05-25 CN CN201520341093.4U patent/CN204667744U/en not_active Expired - Fee Related
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20150923 Termination date: 20160525 |