Pattern Analysis of Fractal-Like Systems

Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special at...
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Autor*in:	Ryzhikova, Yu. V. [verfasserIn] Ryzhikov, S. B.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Anmerkung:	© Allerton Press, Inc. 2023

Übergeordnetes Werk:	Enthalten in: Moscow University physics bulletin - New York, NY : Faraday Press, 2007, 78(2023), 4 vom: Aug., Seite 513-520
Übergeordnetes Werk:	volume:78 ; year:2023 ; number:4 ; month:08 ; pages:513-520

Links:	Volltext

DOI / URN:	10.3103/S0027134923040148

Katalog-ID:	SPR053498453

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520			\|a Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods.
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912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
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912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
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912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
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allfields	10.3103/S0027134923040148 doi (DE-627)SPR053498453 (SPR)S0027134923040148-e DE-627 ger DE-627 rakwb eng Ryzhikova, Yu. V. verfasserin aut Pattern Analysis of Fractal-Like Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Allerton Press, Inc. 2023 Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. Ryzhikov, S. B. aut Enthalten in Moscow University physics bulletin New York, NY : Faraday Press, 2007 78(2023), 4 vom: Aug., Seite 513-520 (DE-627)531199762 (DE-600)2322578-6 1934-8460 nnns volume:78 year:2023 number:4 month:08 pages:513-520 https://dx.doi.org/10.3103/S0027134923040148 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 4 08 513-520
spelling	10.3103/S0027134923040148 doi (DE-627)SPR053498453 (SPR)S0027134923040148-e DE-627 ger DE-627 rakwb eng Ryzhikova, Yu. V. verfasserin aut Pattern Analysis of Fractal-Like Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Allerton Press, Inc. 2023 Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. Ryzhikov, S. B. aut Enthalten in Moscow University physics bulletin New York, NY : Faraday Press, 2007 78(2023), 4 vom: Aug., Seite 513-520 (DE-627)531199762 (DE-600)2322578-6 1934-8460 nnns volume:78 year:2023 number:4 month:08 pages:513-520 https://dx.doi.org/10.3103/S0027134923040148 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 4 08 513-520
allfields_unstemmed	10.3103/S0027134923040148 doi (DE-627)SPR053498453 (SPR)S0027134923040148-e DE-627 ger DE-627 rakwb eng Ryzhikova, Yu. V. verfasserin aut Pattern Analysis of Fractal-Like Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Allerton Press, Inc. 2023 Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. Ryzhikov, S. B. aut Enthalten in Moscow University physics bulletin New York, NY : Faraday Press, 2007 78(2023), 4 vom: Aug., Seite 513-520 (DE-627)531199762 (DE-600)2322578-6 1934-8460 nnns volume:78 year:2023 number:4 month:08 pages:513-520 https://dx.doi.org/10.3103/S0027134923040148 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 4 08 513-520
allfieldsGer	10.3103/S0027134923040148 doi (DE-627)SPR053498453 (SPR)S0027134923040148-e DE-627 ger DE-627 rakwb eng Ryzhikova, Yu. V. verfasserin aut Pattern Analysis of Fractal-Like Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Allerton Press, Inc. 2023 Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. Ryzhikov, S. B. aut Enthalten in Moscow University physics bulletin New York, NY : Faraday Press, 2007 78(2023), 4 vom: Aug., Seite 513-520 (DE-627)531199762 (DE-600)2322578-6 1934-8460 nnns volume:78 year:2023 number:4 month:08 pages:513-520 https://dx.doi.org/10.3103/S0027134923040148 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 4 08 513-520
allfieldsSound	10.3103/S0027134923040148 doi (DE-627)SPR053498453 (SPR)S0027134923040148-e DE-627 ger DE-627 rakwb eng Ryzhikova, Yu. V. verfasserin aut Pattern Analysis of Fractal-Like Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Allerton Press, Inc. 2023 Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. Ryzhikov, S. B. aut Enthalten in Moscow University physics bulletin New York, NY : Faraday Press, 2007 78(2023), 4 vom: Aug., Seite 513-520 (DE-627)531199762 (DE-600)2322578-6 1934-8460 nnns volume:78 year:2023 number:4 month:08 pages:513-520 https://dx.doi.org/10.3103/S0027134923040148 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 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_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 78 2023 4 08 513-520
language	English
source	Enthalten in Moscow University physics bulletin 78(2023), 4 vom: Aug., Seite 513-520 volume:78 year:2023 number:4 month:08 pages:513-520
sourceStr	Enthalten in Moscow University physics bulletin 78(2023), 4 vom: Aug., Seite 513-520 volume:78 year:2023 number:4 month:08 pages:513-520
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container_title	Moscow University physics bulletin
authorswithroles_txt_mv	Ryzhikova, Yu. V. @@aut@@ Ryzhikov, S. B. @@aut@@
publishDateDaySort_date	2023-08-01T00:00:00Z
hierarchy_top_id	531199762
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author	Ryzhikova, Yu. V.
spellingShingle	Ryzhikova, Yu. V. Pattern Analysis of Fractal-Like Systems
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title	Pattern Analysis of Fractal-Like Systems
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title_full	Pattern Analysis of Fractal-Like Systems
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title_sort	pattern analysis of fractal-like systems
title_auth	Pattern Analysis of Fractal-Like Systems
abstract	Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. © Allerton Press, Inc. 2023
abstractGer	Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. © Allerton Press, Inc. 2023
abstract_unstemmed	Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods. © Allerton Press, Inc. 2023
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title_short	Pattern Analysis of Fractal-Like Systems
url	https://dx.doi.org/10.3103/S0027134923040148
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V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Pattern Analysis of Fractal-Like Systems</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Allerton Press, Inc. 2023</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ryzhikov, S. B.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Moscow University physics bulletin</subfield><subfield code="d">New York, NY : Faraday Press, 2007</subfield><subfield code="g">78(2023), 4 vom: Aug., Seite 513-520</subfield><subfield code="w">(DE-627)531199762</subfield><subfield code="w">(DE-600)2322578-6</subfield><subfield code="x">1934-8460</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:78</subfield><subfield code="g">year:2023</subfield><subfield code="g">number:4</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:513-520</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.3103/S0027134923040148</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " 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