Multi-Modal-Extended Solutions of FKS Equation
Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative co...
Ausführliche Beschreibung
Autor*in: |
Shi, Yong-Guo [verfasserIn] |
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Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Schlagwörter: |
Feigenbaum–Kadanoff–Shenker equation the second type of FKS equation |
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Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 |
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Übergeordnetes Werk: |
Enthalten in: Results in mathematics - Springer International Publishing, 1984, 76(2021), 4 vom: 08. Okt. |
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Übergeordnetes Werk: |
volume:76 ; year:2021 ; number:4 ; day:08 ; month:10 |
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DOI / URN: |
10.1007/s00025-021-01528-w |
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OLC2077129050 |
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520 | |a Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. | ||
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10.1007/s00025-021-01528-w doi (DE-627)OLC2077129050 (DE-He213)s00025-021-01528-w-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Shi, Yong-Guo verfasserin (orcid)0000-0003-0159-3197 aut Multi-Modal-Extended Solutions of FKS Equation 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. Feigenbaum–Kadanoff–Shenker equation the second type of FKS equation nonlinear iterative functional equation multi-modal-extended solutions Enthalten in Results in mathematics Springer International Publishing, 1984 76(2021), 4 vom: 08. Okt. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:76 year:2021 number:4 day:08 month:10 https://doi.org/10.1007/s00025-021-01528-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 76 2021 4 08 10 |
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10.1007/s00025-021-01528-w doi (DE-627)OLC2077129050 (DE-He213)s00025-021-01528-w-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Shi, Yong-Guo verfasserin (orcid)0000-0003-0159-3197 aut Multi-Modal-Extended Solutions of FKS Equation 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. Feigenbaum–Kadanoff–Shenker equation the second type of FKS equation nonlinear iterative functional equation multi-modal-extended solutions Enthalten in Results in mathematics Springer International Publishing, 1984 76(2021), 4 vom: 08. Okt. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:76 year:2021 number:4 day:08 month:10 https://doi.org/10.1007/s00025-021-01528-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 76 2021 4 08 10 |
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10.1007/s00025-021-01528-w doi (DE-627)OLC2077129050 (DE-He213)s00025-021-01528-w-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Shi, Yong-Guo verfasserin (orcid)0000-0003-0159-3197 aut Multi-Modal-Extended Solutions of FKS Equation 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. Feigenbaum–Kadanoff–Shenker equation the second type of FKS equation nonlinear iterative functional equation multi-modal-extended solutions Enthalten in Results in mathematics Springer International Publishing, 1984 76(2021), 4 vom: 08. Okt. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:76 year:2021 number:4 day:08 month:10 https://doi.org/10.1007/s00025-021-01528-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 76 2021 4 08 10 |
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10.1007/s00025-021-01528-w doi (DE-627)OLC2077129050 (DE-He213)s00025-021-01528-w-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Shi, Yong-Guo verfasserin (orcid)0000-0003-0159-3197 aut Multi-Modal-Extended Solutions of FKS Equation 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. Feigenbaum–Kadanoff–Shenker equation the second type of FKS equation nonlinear iterative functional equation multi-modal-extended solutions Enthalten in Results in mathematics Springer International Publishing, 1984 76(2021), 4 vom: 08. Okt. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:76 year:2021 number:4 day:08 month:10 https://doi.org/10.1007/s00025-021-01528-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 76 2021 4 08 10 |
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Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 |
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Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 |
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Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. We consider the second type of FKS equation, which is also a nonlinear iterative functional equation. Some properties of continuous solutions are summarized. Using the iterative construction method, we obtain some multi-modal-extended solutions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2077129050</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505150123.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00025-021-01528-w</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2077129050</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00025-021-01528-w-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Shi, Yong-Guo</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0003-0159-3197</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multi-Modal-Extended Solutions of FKS Equation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The Feigenbaum–Kadanoff–Shenker (FKS) equation characterizes the quasiperiodic route to chaos for circle maps. 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