WO2009146283A1 - Digital generation of a chaotic numerical sequence - Google Patents
Digital generation of a chaotic numerical sequence Download PDFInfo
- Publication number
- WO2009146283A1 WO2009146283A1 PCT/US2009/044634 US2009044634W WO2009146283A1 WO 2009146283 A1 WO2009146283 A1 WO 2009146283A1 US 2009044634 W US2009044634 W US 2009044634W WO 2009146283 A1 WO2009146283 A1 WO 2009146283A1
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- Prior art keywords
- chaotic sequence
- variable
- value
- rns
- cycle
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- 230000000739 chaotic effect Effects 0.000 title claims abstract description 126
- 238000000034 method Methods 0.000 claims abstract description 50
- 230000001133 acceleration Effects 0.000 claims description 5
- 238000012545 processing Methods 0.000 claims description 5
- 230000008569 process Effects 0.000 description 10
- 238000010586 diagram Methods 0.000 description 9
- 238000013507 mapping Methods 0.000 description 9
- 230000008713 feedback mechanism Effects 0.000 description 7
- 230000006870 function Effects 0.000 description 7
- 238000006243 chemical reaction Methods 0.000 description 6
- 230000004044 response Effects 0.000 description 6
- 238000004590 computer program Methods 0.000 description 4
- 238000011156 evaluation Methods 0.000 description 3
- 241000238876 Acari Species 0.000 description 2
- 230000001427 coherent effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 230000009467 reduction Effects 0.000 description 2
- 230000007480 spreading Effects 0.000 description 2
- 229910002056 binary alloy Inorganic materials 0.000 description 1
- 238000004883 computer application Methods 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 230000010365 information processing Effects 0.000 description 1
- 238000003780 insertion Methods 0.000 description 1
- 230000037431 insertion Effects 0.000 description 1
- 230000000873 masking effect Effects 0.000 description 1
- 230000000717 retained effect Effects 0.000 description 1
- 230000035945 sensitivity Effects 0.000 description 1
- 239000000126 substance Substances 0.000 description 1
- 230000001360 synchronised effect Effects 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/58—Random or pseudo-random number generators
- G06F7/582—Pseudo-random number generators
- G06F7/586—Pseudo-random number generators using an integer algorithm, e.g. using linear congruential method
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
- G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
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- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Theoretical Computer Science (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- General Engineering & Computer Science (AREA)
- Complex Calculations (AREA)
- Error Detection And Correction (AREA)
Abstract
Description
Claims
Priority Applications (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CA2725872A CA2725872C (en) | 2008-05-29 | 2009-05-20 | Digital generation of an accelerated or decelerated chaotic numerical sequence |
JP2011511717A JP5259813B2 (en) | 2008-05-29 | 2009-05-20 | Digital generation of accelerated or decelerated chaotic sequences |
EP09755645A EP2304547A1 (en) | 2008-05-29 | 2009-05-20 | Digital generation of a chaotic numerical sequence |
KR1020107029577A KR101226781B1 (en) | 2008-05-29 | 2009-05-20 | Digital generation of a chaotic numerical sequence |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US12/129,197 US8145692B2 (en) | 2008-05-29 | 2008-05-29 | Digital generation of an accelerated or decelerated chaotic numerical sequence |
US12/129,197 | 2008-05-29 |
Publications (1)
Publication Number | Publication Date |
---|---|
WO2009146283A1 true WO2009146283A1 (en) | 2009-12-03 |
Family
ID=40852274
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/US2009/044634 WO2009146283A1 (en) | 2008-05-29 | 2009-05-20 | Digital generation of a chaotic numerical sequence |
Country Status (7)
Country | Link |
---|---|
US (1) | US8145692B2 (en) |
EP (1) | EP2304547A1 (en) |
JP (1) | JP5259813B2 (en) |
KR (1) | KR101226781B1 (en) |
CA (1) | CA2725872C (en) |
TW (1) | TW201005631A (en) |
WO (1) | WO2009146283A1 (en) |
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CA2725872C (en) | 2013-08-13 |
US20090327387A1 (en) | 2009-12-31 |
KR101226781B1 (en) | 2013-01-25 |
JP2011521603A (en) | 2011-07-21 |
JP5259813B2 (en) | 2013-08-07 |
EP2304547A1 (en) | 2011-04-06 |
KR20110030503A (en) | 2011-03-23 |
TW201005631A (en) | 2010-02-01 |
CA2725872A1 (en) | 2009-12-03 |
US8145692B2 (en) | 2012-03-27 |
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