On Shadowing System Generated by a Uniformly Convergent Mappings Sequence
Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yang, Xiaofang [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of dynamical and control systems - New York, NY [u.a.] : Springer Science + Business Media B.V., 1995, 29(2022), 3 vom: 08. Juli, Seite 691-702 |
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| Übergeordnetes Werk: |
volume:29 ; year:2022 ; number:3 ; day:08 ; month:07 ; pages:691-702 |
| Links: |
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| DOI / URN: |
10.1007/s10883-022-09603-3 |
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| Katalog-ID: |
SPR053163192 |
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| 520 | |a Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. | ||
| 650 | 4 | |a Limit shadowing property |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -shadowing property |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Pseudo-orbit shadowing property |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Sensitivity |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Lu, Tianxiu |0 (orcid)0000-0002-8806-9656 |4 aut | |
| 700 | 1 | |a Pi, Jingmin |4 aut | |
| 700 | 1 | |a Jiang, Yongxi |4 aut | |
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10.1007/s10883-022-09603-3 doi (DE-627)SPR053163192 (SPR)s10883-022-09603-3-e DE-627 ger DE-627 rakwb eng Yang, Xiaofang verfasserin aut On Shadowing System Generated by a Uniformly Convergent Mappings Sequence 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. Limit shadowing property (dpeaa)DE-He213 -shadowing property (dpeaa)DE-He213 Pseudo-orbit shadowing property (dpeaa)DE-He213 Sensitivity (dpeaa)DE-He213 Lu, Tianxiu (orcid)0000-0002-8806-9656 aut Pi, Jingmin aut Jiang, Yongxi aut Enthalten in Journal of dynamical and control systems New York, NY [u.a.] : Springer Science + Business Media B.V., 1995 29(2022), 3 vom: 08. Juli, Seite 691-702 (DE-627)320574245 (DE-600)2016853-6 1573-8698 nnns volume:29 year:2022 number:3 day:08 month:07 pages:691-702 https://dx.doi.org/10.1007/s10883-022-09603-3 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_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 29 2022 3 08 07 691-702 |
| spelling |
10.1007/s10883-022-09603-3 doi (DE-627)SPR053163192 (SPR)s10883-022-09603-3-e DE-627 ger DE-627 rakwb eng Yang, Xiaofang verfasserin aut On Shadowing System Generated by a Uniformly Convergent Mappings Sequence 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. Limit shadowing property (dpeaa)DE-He213 -shadowing property (dpeaa)DE-He213 Pseudo-orbit shadowing property (dpeaa)DE-He213 Sensitivity (dpeaa)DE-He213 Lu, Tianxiu (orcid)0000-0002-8806-9656 aut Pi, Jingmin aut Jiang, Yongxi aut Enthalten in Journal of dynamical and control systems New York, NY [u.a.] : Springer Science + Business Media B.V., 1995 29(2022), 3 vom: 08. Juli, Seite 691-702 (DE-627)320574245 (DE-600)2016853-6 1573-8698 nnns volume:29 year:2022 number:3 day:08 month:07 pages:691-702 https://dx.doi.org/10.1007/s10883-022-09603-3 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_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 29 2022 3 08 07 691-702 |
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10.1007/s10883-022-09603-3 doi (DE-627)SPR053163192 (SPR)s10883-022-09603-3-e DE-627 ger DE-627 rakwb eng Yang, Xiaofang verfasserin aut On Shadowing System Generated by a Uniformly Convergent Mappings Sequence 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. Limit shadowing property (dpeaa)DE-He213 -shadowing property (dpeaa)DE-He213 Pseudo-orbit shadowing property (dpeaa)DE-He213 Sensitivity (dpeaa)DE-He213 Lu, Tianxiu (orcid)0000-0002-8806-9656 aut Pi, Jingmin aut Jiang, Yongxi aut Enthalten in Journal of dynamical and control systems New York, NY [u.a.] : Springer Science + Business Media B.V., 1995 29(2022), 3 vom: 08. Juli, Seite 691-702 (DE-627)320574245 (DE-600)2016853-6 1573-8698 nnns volume:29 year:2022 number:3 day:08 month:07 pages:691-702 https://dx.doi.org/10.1007/s10883-022-09603-3 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_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 29 2022 3 08 07 691-702 |
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10.1007/s10883-022-09603-3 doi (DE-627)SPR053163192 (SPR)s10883-022-09603-3-e DE-627 ger DE-627 rakwb eng Yang, Xiaofang verfasserin aut On Shadowing System Generated by a Uniformly Convergent Mappings Sequence 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. Limit shadowing property (dpeaa)DE-He213 -shadowing property (dpeaa)DE-He213 Pseudo-orbit shadowing property (dpeaa)DE-He213 Sensitivity (dpeaa)DE-He213 Lu, Tianxiu (orcid)0000-0002-8806-9656 aut Pi, Jingmin aut Jiang, Yongxi aut Enthalten in Journal of dynamical and control systems New York, NY [u.a.] : Springer Science + Business Media B.V., 1995 29(2022), 3 vom: 08. Juli, Seite 691-702 (DE-627)320574245 (DE-600)2016853-6 1573-8698 nnns volume:29 year:2022 number:3 day:08 month:07 pages:691-702 https://dx.doi.org/10.1007/s10883-022-09603-3 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_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 29 2022 3 08 07 691-702 |
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10.1007/s10883-022-09603-3 doi (DE-627)SPR053163192 (SPR)s10883-022-09603-3-e DE-627 ger DE-627 rakwb eng Yang, Xiaofang verfasserin aut On Shadowing System Generated by a Uniformly Convergent Mappings Sequence 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. Limit shadowing property (dpeaa)DE-He213 -shadowing property (dpeaa)DE-He213 Pseudo-orbit shadowing property (dpeaa)DE-He213 Sensitivity (dpeaa)DE-He213 Lu, Tianxiu (orcid)0000-0002-8806-9656 aut Pi, Jingmin aut Jiang, Yongxi aut Enthalten in Journal of dynamical and control systems New York, NY [u.a.] : Springer Science + Business Media B.V., 1995 29(2022), 3 vom: 08. Juli, Seite 691-702 (DE-627)320574245 (DE-600)2016853-6 1573-8698 nnns volume:29 year:2022 number:3 day:08 month:07 pages:691-702 https://dx.doi.org/10.1007/s10883-022-09603-3 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_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 29 2022 3 08 07 691-702 |
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Yang, Xiaofang |
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Yang, Xiaofang misc Limit shadowing property misc -shadowing property misc Pseudo-orbit shadowing property misc Sensitivity On Shadowing System Generated by a Uniformly Convergent Mappings Sequence |
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On Shadowing System Generated by a Uniformly Convergent Mappings Sequence Limit shadowing property (dpeaa)DE-He213 -shadowing property (dpeaa)DE-He213 Pseudo-orbit shadowing property (dpeaa)DE-He213 Sensitivity (dpeaa)DE-He213 |
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On Shadowing System Generated by a Uniformly Convergent Mappings Sequence |
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Journal of dynamical and control systems |
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Yang, Xiaofang Lu, Tianxiu Pi, Jingmin Jiang, Yongxi |
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on shadowing system generated by a uniformly convergent mappings sequence |
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On Shadowing System Generated by a Uniformly Convergent Mappings Sequence |
| abstract |
Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
| abstractGer |
Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
| abstract_unstemmed |
Abstract The shadowing property relationship between a uniformly convergent mapping sequence ${(f_{n})_{n=1}^{\infty }}$ and its limit mapping f in non-autonomous systems is discussed. Some sufficient and necessary conditions are given for that ${(f_{n})_{n=1}^{\infty }}$ is limit shadowing property, $\underline {d}$-shadowing property or pseudo-orbit shadowing property. In particular, a computer simulation of an example is given to illustrate the shadowing property of ${(f_{n})_{n=1}^{\infty }}$. In addition, it is proved that the sensitivity of ${(f_{n})_{n=1}^{\infty }}$ is equivalent to the sensitivity of f under the shadowing system. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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On Shadowing System Generated by a Uniformly Convergent Mappings Sequence |
| url |
https://dx.doi.org/10.1007/s10883-022-09603-3 |
| remote_bool |
true |
| author2 |
Lu, Tianxiu Pi, Jingmin Jiang, Yongxi |
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Lu, Tianxiu Pi, Jingmin Jiang, Yongxi |
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c |
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| doi_str |
10.1007/s10883-022-09603-3 |
| up_date |
2024-07-03T17:31:21.467Z |
| _version_ |
1803579955838189568 |
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