CN202503530U - Three-dimensional chaotic system - Google Patents

Three-dimensional chaotic system Download PDF

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Publication number
CN202503530U
CN202503530U CN 201220140818 CN201220140818U CN202503530U CN 202503530 U CN202503530 U CN 202503530U CN 201220140818 CN201220140818 CN 201220140818 CN 201220140818 U CN201220140818 U CN 201220140818U CN 202503530 U CN202503530 U CN 202503530U
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CN
China
Prior art keywords
operational amplifier
multiplier
addition
output
connects
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Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
CN 201220140818
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Chinese (zh)
Inventor
王春梅
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Binzhou University
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Binzhou University
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Priority to CN 201220140818 priority Critical patent/CN202503530U/en
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Publication of CN202503530U publication Critical patent/CN202503530U/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Abstract

Disclosed is a three-dimensional chaotic system, comprising an operational amplifier U1, an operational amplifier U2, an operational amplifier U3, a multiplier U4, and a multiplier U5, wherein the operation amplifiers realize addition, anti-phase, and integration function and realizes the linear terms in the system; the multipliers realize multiplication function and realize the non-linear terms in the system; the multiplier U4 is connected with the operational amplifier U2 while the multiplier U5 is connected with the operational amplifier U3; the output of the operational amplifier U1 is respectively connected with the addition of the operational amplifier U2 and one input terminal of the multiplier U5; the output of the operational amplifier U2 is respectively connected with the other input terminal of the multiplier U5, the addition of the operational amplifier U1, and the addition of the operational amplifier U2; and the output of the operational amplifier U3 is connected with one input terminal of the multiplier U4. The utility model provides a three-dimensional chaotic system, which enriches the category and number of the existing chaotic system.

Description

The three-dimensional chaos system
Technical field
The utility model relates to a kind of chaos system, particularly a kind of three-dimensional chaos system.
Background technology
The three-dimensional chaos system is the main type of chaos system, and existing three-dimensional chaos system is abundant not enough, and this is the weak point of prior art.
Summary of the invention
To the deficiency of prior art, the utility model proposes a kind of three-dimensional chaos system, it is characterized in that: be made up of operational amplifier U1, operational amplifier U2, operational amplifier U3 and multiplier U4, multiplier U5; Operational amplifier is realized addition, anti-phase, integrating function; Linear term in the realization system; Multiplier is realized multiplication function, the nonlinear terms in the realization system, and multiplier U4 meets operational amplifier U2; Multiplier U5 meets operational amplifier U3; The output of operational amplifier U1 connects the addition of operational amplifier U2 respectively, and the output of operational amplifier U2 connects two inputs and the addition of operational amplifier U1 and the addition of operational amplifier U2 of multiplier U5 respectively, and the output of operational amplifier U3 connects the input of multiplier U4.
The utility model beneficial effect: propose a three-dimensional chaos system, abundant chaos system kind and the quantity of having had now.
Description of drawings
Fig. 1 is the structure principle chart of the utility model.
Embodiment
Below in conjunction with accompanying drawing and preferred embodiment the utility model is made detailed description further.
The Mathematical Modeling that the utility model relates to is following:
x · = 20 ( y - x ) y · = 14 x + 10.6 y - xz z · = y 2 - 2.8 z
X in the formula, y, z are state variable, the parameter of each linear differential equation is a determined value.
Referring to Fig. 1, the three-dimensional chaos system is characterized in that: be made up of operational amplifier U1, operational amplifier U2, operational amplifier U3 and multiplier U4, multiplier U5; Operational amplifier is realized addition, anti-phase, integrating function; Linear term in the realization system; Multiplier is realized multiplication function, the nonlinear terms in the realization system, and multiplier U4 meets operational amplifier U2; Multiplier U5 meets operational amplifier U3; The output of operational amplifier U1 connects the addition of operational amplifier U2 respectively, and the output of operational amplifier U2 connects two inputs and the addition of operational amplifier U1 and the addition of operational amplifier U2 of multiplier U5 respectively, and the output of operational amplifier U3 connects the input of multiplier U4.

Claims (1)

1. the three-dimensional chaos system is characterized in that: be made up of operational amplifier realization addition operational amplifier U1, operational amplifier U2, operational amplifier U3 and multiplier U4, multiplier U5; Anti-phase; Integrating function, the linear term in the realization system, multiplier is realized multiplication function; Nonlinear terms in the realization system; Multiplier U4 meets operational amplifier U2, and multiplier U5 meets operational amplifier U3, and the output of operational amplifier U1 connects the addition of operational amplifier U2 respectively; The output of operational amplifier U2 connects two inputs and the addition of operational amplifier U1 and the addition of operational amplifier U2 of multiplier U5 respectively, and the output of operational amplifier U3 connects the input of multiplier U4.
CN 201220140818 2012-04-06 2012-04-06 Three-dimensional chaotic system Expired - Fee Related CN202503530U (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN 201220140818 CN202503530U (en) 2012-04-06 2012-04-06 Three-dimensional chaotic system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN 201220140818 CN202503530U (en) 2012-04-06 2012-04-06 Three-dimensional chaotic system

Publications (1)

Publication Number Publication Date
CN202503530U true CN202503530U (en) 2012-10-24

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Family Applications (1)

Application Number Title Priority Date Filing Date
CN 201220140818 Expired - Fee Related CN202503530U (en) 2012-04-06 2012-04-06 Three-dimensional chaotic system

Country Status (1)

Country Link
CN (1) CN202503530U (en)

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103152159A (en) * 2013-03-17 2013-06-12 王少夫 Three-dimensional chaotic system with only one balance point and device thereof
CN103152158A (en) * 2013-01-30 2013-06-12 王少夫 Three-dimensional chaotic system
CN103199982A (en) * 2013-01-09 2013-07-10 王少夫 Three-dimensional chaotic system with quadratic component
CN104184576A (en) * 2014-09-02 2014-12-03 王忠林 Circuit design for general chaotic system

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103199982A (en) * 2013-01-09 2013-07-10 王少夫 Three-dimensional chaotic system with quadratic component
CN103152158A (en) * 2013-01-30 2013-06-12 王少夫 Three-dimensional chaotic system
CN103152159A (en) * 2013-03-17 2013-06-12 王少夫 Three-dimensional chaotic system with only one balance point and device thereof
CN104184576A (en) * 2014-09-02 2014-12-03 王忠林 Circuit design for general chaotic system

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Legal Events

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C14 Grant of patent or utility model
GR01 Patent grant
C17 Cessation of patent right
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20121024

Termination date: 20130406