CN206042009U - Novel four -dimensional hyper -chaos system - Google Patents
Novel four -dimensional hyper -chaos system Download PDFInfo
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- CN206042009U CN206042009U CN201620733494.9U CN201620733494U CN206042009U CN 206042009 U CN206042009 U CN 206042009U CN 201620733494 U CN201620733494 U CN 201620733494U CN 206042009 U CN206042009 U CN 206042009U
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Abstract
The utility model provides a novel four -dimensional hyper -chaos system which characterized in that: this circuit comprises four ways resistance, electric capacity, operational amplifier (LF347BN) and multiplier (AD633JN), resistance and operational amplifier (LF347BN) constitute add circuit and proportion inverting circuit, electric capacity and operational amplifier (LF347BN) realize integral, multiplier (AD633JN) realization multiply operation, the utility model provides a novel four -dimensional hyper -chaos system, because hyper -chaos system has lyapunov index positive more than two and two, the dynamics action is more complicated than general chaos system, is difficult to the prediction, has higher practical value in secret communication and information ann congruent field, has very big research significance and practical value in many numerous subject fields simultaneously.
Description
Technical field
Invention is related to a kind of circuit of nonlinear system, particularly a kind of circuit of new four-dimensional hyperchaotic system.
Background technology
Last century, Lorenz are found that first classical three-dimensional self-governing chaos system, cause numerous chaos studies with regard to this
The concern of person, and it is thus found that the mixed degree systems of many new three-dimensionals, such as Chen systems, Lindenmayer system etc., these chaos systems
It is the three-dimensional and positive Lyapunov indexes of only one of which, so Jing is often cracked in many engineer applieds, for example, is adding
In close system, the sequence generated using the three-dimensional self-governing chaos system of bandwidth relative narrower is being encrypted to signal, it is easy to
Given by filtering system and filtered so as to lose the meaning of encryption, therefore, the present invention proposes a kind of new four dimension ultra-chaos system
System, because hyperchaotic system has the positive Lyapunov indexes of two and two or more, dynamic behavior is than general chaos system
It is more complicated, it is difficult to predict, there is higher practical value, while many numerous in the field such as secret communication and information security
Ambit has great Research Significance and practical value.
The content of the invention
1. a kind of new four-dimensional hyperchaotic system, it is characterised in that:The circuit is by four road resistance, electric capacity, operational amplifier
(LF347BN) constitute with multiplier (AD633JN), the resistance and operational amplifier (LF347BN) constitute add circuit and ratio
Example negative circuit, the electric capacity and operational amplifier (LF347BN) realize integral operation, and multiplier (AD633JN) realizes multiplication
Computing;
The in-phase output end (x) of the first via connects an input of the multiplier (A3) on the 3rd tunnel, connects the multiplication on the 4th tunnel
One input of device (A4), the reversed-phase output (- x) of the first via connect the input of the anti-phase add circuit of the first via, connect
One input of the multiplier (A2) on two tunnels, connects the input of the anti-phase add circuit on the second tunnel, the multiplier of the first via
(A1) input of the anti-phase add circuit of the output termination first via, the in-phase output end (y) on the second tunnel connect the anti-of the first via
The input of additive process circuit, connects an input of the multiplier (A1) of the first via, connects the anti-phase add circuit on the second tunnel
Input, connects another input of the multiplier (A3) on the 3rd tunnel, and the reversed-phase output (- y) on the second tunnel connects the anti-of the 4th tunnel
The input of additive process circuit, the input of the anti-phase add circuit on second tunnel of output termination of the multiplier (A2) on the second tunnel;
The in-phase output end (z) on the 3rd tunnel connects another input of the multiplier (A1) of the first via, connects the multiplier (A2) on the second tunnel
Another input, connect another input of the multiplier (A4) on the 4th tunnel, the reversed-phase output (- z) on the 3rd tunnel connects
The input of the anti-phase add circuit on three tunnels, the anti-phase add circuit on the 3rd tunnel of output termination of the multiplier (A3) on the 3rd tunnel
Input;The in-phase output end (w) on the 4th tunnel connects the input of the anti-phase add circuit on the second tunnel, the multiplier (A4) on the 4th tunnel
Output termination the 4th tunnel anti-phase add circuit input.
Beneficial effect:The present invention proposes a kind of new four-dimensional hyperchaotic system, because hyperchaotic system has two and two
Positive Lyapunov indexes more than individual, dynamic behavior are more more complicated than general chaos system, it is difficult to predict, in secret communication and letter
There is higher practical value in the fields such as breath safety, while having great Research Significance and reality in many numerous ambits
With value.
Description of the drawings
Fig. 1 is a kind of new four-dimensional hyperchaotic system circuit diagram of realization.
Fig. 2 is the phasor that a kind of new four-dimensional hyperchaotic system produces xy quadrants.
Fig. 3 is the phasor that a kind of new four-dimensional hyperchaotic system produces xz quadrants.
Fig. 4 is the phasor that a kind of new four-dimensional hyperchaotic system produces xw quadrants.
Fig. 5 is the phasor that a kind of new four-dimensional hyperchaotic system produces yz quadrants.
Fig. 6 is the phasor that a kind of new four-dimensional hyperchaotic system produces yw quadrants.
Fig. 7 is the phasor that a kind of new four-dimensional hyperchaotic system produces zw quadrants
Specific embodiment
The present invention is further described in detail with preferred embodiment below in conjunction with the accompanying drawings, referring to Fig. 1-Fig. 7.
1. a kind of new four-dimensional hyperchaotic system, it is characterised in that:The circuit is by four road resistance, electric capacity, operational amplifier
(LF347BN) constitute with multiplier (AD633JN), the resistance and operational amplifier (LF347BN) constitute add circuit and ratio
Example negative circuit, the electric capacity and operational amplifier (LF347BN) realize integral operation, and multiplier (AD633JN) realizes multiplication
Computing;
The in-phase output end (x) of the first via connects an input of the multiplier (A3) on the 3rd tunnel, connects the multiplication on the 4th tunnel
One input of device (A4), the reversed-phase output (- x) of the first via connect the input of the anti-phase add circuit of the first via, connect
One input of the multiplier (A2) on two tunnels, connects the input of the anti-phase add circuit on the second tunnel, the multiplier of the first via
(A1) input of the anti-phase add circuit of the output termination first via, the in-phase output end (y) on the second tunnel connect the anti-of the first via
The input of additive process circuit, connects an input of the multiplier (A1) of the first via, connects the anti-phase add circuit on the second tunnel
Input, connects another input of the multiplier (A3) on the 3rd tunnel, and the reversed-phase output (- y) on the second tunnel connects the anti-of the 4th tunnel
The input of additive process circuit, the input of the anti-phase add circuit on second tunnel of output termination of the multiplier (A2) on the second tunnel;
The in-phase output end (z) on the 3rd tunnel connects another input of the multiplier (A1) of the first via, connects the multiplier (A2) on the second tunnel
Another input, connect another input of the multiplier (A4) on the 4th tunnel, the reversed-phase output (- z) on the 3rd tunnel connects
The input of the anti-phase add circuit on three tunnels, the anti-phase add circuit on the 3rd tunnel of output termination of the multiplier (A3) on the 3rd tunnel
Input;The in-phase output end (w) on the 4th tunnel connects the input of the anti-phase add circuit on the second tunnel, the multiplier (A4) on the 4th tunnel
Output termination the 4th tunnel anti-phase add circuit input.
Certainly, described above restriction not to inventing, the present invention are also not limited to the example above, the art it is general
Change, remodeling, addition or replacement that logical technical staff is made in the essential scope of the present invention, fall within the protection of the present invention
Scope.
Claims (1)
1. a kind of new four-dimensional hyperchaotic system, it is characterised in that:The circuit is by four road resistance, electric capacity, operational amplifier
(LF347BN) constitute with multiplier (AD633JN), the resistance and operational amplifier (LF347BN) constitute add circuit and ratio
Example negative circuit, the electric capacity and operational amplifier (LF347BN) realize integral operation, and multiplier (AD633JN) realizes multiplication
Computing;
The in-phase output end (x) of the first via connects an input of the multiplier (A3) on the 3rd tunnel, connects the multiplier on the 4th tunnel
(A4) a input, the reversed-phase output (- x) of the first via connect the input of the anti-phase add circuit of the first via, connect second
One input of the multiplier (A2) on road, connects the input of the anti-phase add circuit on the second tunnel, the multiplier (A1) of the first via
The output termination first via anti-phase add circuit input, the in-phase output end (y) on the second tunnel connect the anti-phase of the first via plus
The input of method circuit, connects an input of the multiplier (A1) of the first via, connects the input of the anti-phase add circuit on the second tunnel
End, connects another input of the multiplier (A3) on the 3rd tunnel, and the reversed-phase output (- y) on the second tunnel connects the anti-phase of the 4th tunnel and adds
The input of method circuit, the input of the anti-phase add circuit on second tunnel of output termination of the multiplier (A2) on the second tunnel;3rd
The in-phase output end (z) on road connects another input of the multiplier (A1) of the first via, connect the second tunnel multiplier (A2) it is another
One input, connects another input of the multiplier (A4) on the 4th tunnel, and the reversed-phase output (- z) on the 3rd tunnel connects the 3rd tunnel
Anti-phase add circuit input, the multiplier (A3) on the 3rd tunnel output termination the 3rd tunnel anti-phase add circuit input
End;The in-phase output end (w) on the 4th tunnel connects the input of the anti-phase add circuit on the second tunnel, the multiplier (A4) on the 4th tunnel it is defeated
Go out the input of the anti-phase add circuit on the 4th tunnel of termination.
Priority Applications (1)
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CN201620733494.9U CN206042009U (en) | 2016-07-12 | 2016-07-12 | Novel four -dimensional hyper -chaos system |
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CN201620733494.9U CN206042009U (en) | 2016-07-12 | 2016-07-12 | Novel four -dimensional hyper -chaos system |
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CN206042009U true CN206042009U (en) | 2017-03-22 |
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108022488A (en) * | 2017-07-10 | 2018-05-11 | 西京学院 | A kind of four-dimension coupled electricity-generation hyperchaotic system analog circuit |
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2016
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108022488A (en) * | 2017-07-10 | 2018-05-11 | 西京学院 | A kind of four-dimension coupled electricity-generation hyperchaotic system analog circuit |
CN108022488B (en) * | 2017-07-10 | 2020-06-09 | 西京学院 | Four-dimensional coupling power generation hyperchaotic system analog circuit |
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Legal Events
Date | Code | Title | Description |
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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: 20170322 Termination date: 20170712 |