A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator
Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of...
Ausführliche Beschreibung
Autor*in: |
Xu, Bo [verfasserIn] She, Xingjing [verfasserIn] Jiang, Leping [verfasserIn] Zou, Songting [verfasserIn] Qiu, Gen [verfasserIn] Zhao, Jia [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2023 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Chaos, solitons & fractals - Amsterdam [u.a.] : Elsevier Science, 1991, 173 |
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Übergeordnetes Werk: |
volume:173 |
DOI / URN: |
10.1016/j.chaos.2023.113661 |
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Katalog-ID: |
ELV060484217 |
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245 | 1 | 0 | |a A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator |
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520 | |a Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. | ||
650 | 4 | |a General discrete memristor model | |
650 | 4 | |a 3D discrete hyperchaotic map | |
650 | 4 | |a FPGA hardware implementation | |
650 | 4 | |a Random signal generator | |
700 | 1 | |a She, Xingjing |e verfasserin |4 aut | |
700 | 1 | |a Jiang, Leping |e verfasserin |4 aut | |
700 | 1 | |a Zou, Songting |e verfasserin |4 aut | |
700 | 1 | |a Qiu, Gen |e verfasserin |0 (orcid)0000-0002-1259-8666 |4 aut | |
700 | 1 | |a Zhao, Jia |e verfasserin |0 (orcid)0009-0006-5849-4324 |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Chaos, solitons & fractals |d Amsterdam [u.a.] : Elsevier Science, 1991 |g 173 |h Online-Ressource |w (DE-627)314118497 |w (DE-600)2003919-0 |w (DE-576)094504040 |x 1873-2887 |7 nnns |
773 | 1 | 8 | |g volume:173 |
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2023 |
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30.20 31.00 |
publishDate |
2023 |
allfields |
10.1016/j.chaos.2023.113661 doi (DE-627)ELV060484217 (ELSEVIER)S0960-0779(23)00562-3 DE-627 ger DE-627 rda eng 510 VZ 30.20 bkl 31.00 bkl Xu, Bo verfasserin (orcid)0000-0002-0765-0976 aut A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. General discrete memristor model 3D discrete hyperchaotic map FPGA hardware implementation Random signal generator She, Xingjing verfasserin aut Jiang, Leping verfasserin aut Zou, Songting verfasserin aut Qiu, Gen verfasserin (orcid)0000-0002-1259-8666 aut Zhao, Jia verfasserin (orcid)0009-0006-5849-4324 aut Enthalten in Chaos, solitons & fractals Amsterdam [u.a.] : Elsevier Science, 1991 173 Online-Ressource (DE-627)314118497 (DE-600)2003919-0 (DE-576)094504040 1873-2887 nnns volume:173 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 Nichtlineare Dynamik VZ 31.00 Mathematik: Allgemeines VZ AR 173 |
spelling |
10.1016/j.chaos.2023.113661 doi (DE-627)ELV060484217 (ELSEVIER)S0960-0779(23)00562-3 DE-627 ger DE-627 rda eng 510 VZ 30.20 bkl 31.00 bkl Xu, Bo verfasserin (orcid)0000-0002-0765-0976 aut A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. General discrete memristor model 3D discrete hyperchaotic map FPGA hardware implementation Random signal generator She, Xingjing verfasserin aut Jiang, Leping verfasserin aut Zou, Songting verfasserin aut Qiu, Gen verfasserin (orcid)0000-0002-1259-8666 aut Zhao, Jia verfasserin (orcid)0009-0006-5849-4324 aut Enthalten in Chaos, solitons & fractals Amsterdam [u.a.] : Elsevier Science, 1991 173 Online-Ressource (DE-627)314118497 (DE-600)2003919-0 (DE-576)094504040 1873-2887 nnns volume:173 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 Nichtlineare Dynamik VZ 31.00 Mathematik: Allgemeines VZ AR 173 |
allfields_unstemmed |
10.1016/j.chaos.2023.113661 doi (DE-627)ELV060484217 (ELSEVIER)S0960-0779(23)00562-3 DE-627 ger DE-627 rda eng 510 VZ 30.20 bkl 31.00 bkl Xu, Bo verfasserin (orcid)0000-0002-0765-0976 aut A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. General discrete memristor model 3D discrete hyperchaotic map FPGA hardware implementation Random signal generator She, Xingjing verfasserin aut Jiang, Leping verfasserin aut Zou, Songting verfasserin aut Qiu, Gen verfasserin (orcid)0000-0002-1259-8666 aut Zhao, Jia verfasserin (orcid)0009-0006-5849-4324 aut Enthalten in Chaos, solitons & fractals Amsterdam [u.a.] : Elsevier Science, 1991 173 Online-Ressource (DE-627)314118497 (DE-600)2003919-0 (DE-576)094504040 1873-2887 nnns volume:173 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 Nichtlineare Dynamik VZ 31.00 Mathematik: Allgemeines VZ AR 173 |
allfieldsGer |
10.1016/j.chaos.2023.113661 doi (DE-627)ELV060484217 (ELSEVIER)S0960-0779(23)00562-3 DE-627 ger DE-627 rda eng 510 VZ 30.20 bkl 31.00 bkl Xu, Bo verfasserin (orcid)0000-0002-0765-0976 aut A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. General discrete memristor model 3D discrete hyperchaotic map FPGA hardware implementation Random signal generator She, Xingjing verfasserin aut Jiang, Leping verfasserin aut Zou, Songting verfasserin aut Qiu, Gen verfasserin (orcid)0000-0002-1259-8666 aut Zhao, Jia verfasserin (orcid)0009-0006-5849-4324 aut Enthalten in Chaos, solitons & fractals Amsterdam [u.a.] : Elsevier Science, 1991 173 Online-Ressource (DE-627)314118497 (DE-600)2003919-0 (DE-576)094504040 1873-2887 nnns volume:173 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 Nichtlineare Dynamik VZ 31.00 Mathematik: Allgemeines VZ AR 173 |
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10.1016/j.chaos.2023.113661 doi (DE-627)ELV060484217 (ELSEVIER)S0960-0779(23)00562-3 DE-627 ger DE-627 rda eng 510 VZ 30.20 bkl 31.00 bkl Xu, Bo verfasserin (orcid)0000-0002-0765-0976 aut A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. General discrete memristor model 3D discrete hyperchaotic map FPGA hardware implementation Random signal generator She, Xingjing verfasserin aut Jiang, Leping verfasserin aut Zou, Songting verfasserin aut Qiu, Gen verfasserin (orcid)0000-0002-1259-8666 aut Zhao, Jia verfasserin (orcid)0009-0006-5849-4324 aut Enthalten in Chaos, solitons & fractals Amsterdam [u.a.] : Elsevier Science, 1991 173 Online-Ressource (DE-627)314118497 (DE-600)2003919-0 (DE-576)094504040 1873-2887 nnns volume:173 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 Nichtlineare Dynamik VZ 31.00 Mathematik: Allgemeines VZ AR 173 |
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510 VZ 30.20 bkl 31.00 bkl A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator General discrete memristor model 3D discrete hyperchaotic map FPGA hardware implementation Random signal generator |
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a 3d discrete memristor hyperchaotic map with application in dual-channel random signal generator |
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A 3D discrete memristor hyperchaotic map with application in dual-channel random signal generator |
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Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. |
abstractGer |
Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. |
abstract_unstemmed |
Chaotic systems are widely used in many applications for their pseudo-random sequences of fixed mathematical models. Several academics and engineers prefer using discrete maps for their simplicity in mathematical models and quick implementation. Nevertheless, the easily disrupted chaotic behavior of most discrete maps, such as the Logistic Map, is a significant barrier to their generalization. This paper proposes a 3D parallel memristive logistic map (3D-PMLM) to address this issue. The 3D-PMLM can enhance the complexity of a 1D Logistic map by introducing multidimensional controllable parameters. Performance evaluations demonstrate that the 3D-PMLM has more robust hyperchaotic behavior across a broader range of chaos than existing discrete maps. An experimental platform, based on FPGA and DAC, is put forth to implement the chaotic behavior of 3D-PMLM in hardware. Moreover, the application of 3D-PMLM is further demonstrated through the design and implementation of a dual-channel random signal generator featuring an update period of 1us. The experimental results indicate that the output analog signal is random in three dimensions. |
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