Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators

Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbul...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Baier, Gerold [verfasserIn] Sahle, Sven Kummer, Ursula Brock, Roland

Format:	Artikel

Erschienen:	1994

Anmerkung:	© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

Übergeordnetes Werk:	Enthalten in: Zeitschrift für Naturforschung. A, Physical sciences - Verlag der Zeitschrift für Naturforschung, 1947, 49(1994), 9 vom: 01. Sept., Seite 835-837
Übergeordnetes Werk:	volume:49 ; year:1994 ; number:9 ; day:01 ; month:09 ; pages:835-837

Links:	Volltext

DOI / URN:	10.1515/zna-1994-0902

Katalog-ID:	OLC2140908252

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allfields	10.1515/zna-1994-0902 doi (DE-627)OLC2140908252 (DE-B1597)zna-1994-0902-p DE-627 ger DE-627 rakwb 530 VZ Baier, Gerold verfasserin aut Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. Sahle, Sven aut Kummer, Ursula aut Brock, Roland aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 49(1994), 9 vom: 01. Sept., Seite 835-837 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:49 year:1994 number:9 day:01 month:09 pages:835-837 https://doi.org/10.1515/zna-1994-0902 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_171 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 49 1994 9 01 09 835-837
spelling	10.1515/zna-1994-0902 doi (DE-627)OLC2140908252 (DE-B1597)zna-1994-0902-p DE-627 ger DE-627 rakwb 530 VZ Baier, Gerold verfasserin aut Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. Sahle, Sven aut Kummer, Ursula aut Brock, Roland aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 49(1994), 9 vom: 01. Sept., Seite 835-837 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:49 year:1994 number:9 day:01 month:09 pages:835-837 https://doi.org/10.1515/zna-1994-0902 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_171 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 49 1994 9 01 09 835-837
allfields_unstemmed	10.1515/zna-1994-0902 doi (DE-627)OLC2140908252 (DE-B1597)zna-1994-0902-p DE-627 ger DE-627 rakwb 530 VZ Baier, Gerold verfasserin aut Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. Sahle, Sven aut Kummer, Ursula aut Brock, Roland aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 49(1994), 9 vom: 01. Sept., Seite 835-837 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:49 year:1994 number:9 day:01 month:09 pages:835-837 https://doi.org/10.1515/zna-1994-0902 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_171 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 49 1994 9 01 09 835-837
allfieldsGer	10.1515/zna-1994-0902 doi (DE-627)OLC2140908252 (DE-B1597)zna-1994-0902-p DE-627 ger DE-627 rakwb 530 VZ Baier, Gerold verfasserin aut Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. Sahle, Sven aut Kummer, Ursula aut Brock, Roland aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 49(1994), 9 vom: 01. Sept., Seite 835-837 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:49 year:1994 number:9 day:01 month:09 pages:835-837 https://doi.org/10.1515/zna-1994-0902 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_171 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 49 1994 9 01 09 835-837
allfieldsSound	10.1515/zna-1994-0902 doi (DE-627)OLC2140908252 (DE-B1597)zna-1994-0902-p DE-627 ger DE-627 rakwb 530 VZ Baier, Gerold verfasserin aut Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. Sahle, Sven aut Kummer, Ursula aut Brock, Roland aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 49(1994), 9 vom: 01. Sept., Seite 835-837 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:49 year:1994 number:9 day:01 month:09 pages:835-837 https://doi.org/10.1515/zna-1994-0902 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_171 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 49 1994 9 01 09 835-837
source	Enthalten in Zeitschrift für Naturforschung. A, Physical sciences 49(1994), 9 vom: 01. Sept., Seite 835-837 volume:49 year:1994 number:9 day:01 month:09 pages:835-837
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author	Baier, Gerold
spellingShingle	Baier, Gerold ddc 530 Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators
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title	Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators
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title_full	Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators
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title_sort	transition to higher chaos in diffusively coupled chemical oscillators
title_auth	Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators
abstract	Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. © 1946 – 2014: Verlag der Zeitschrift für Naturforschung
abstractGer	Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. © 1946 – 2014: Verlag der Zeitschrift für Naturforschung
abstract_unstemmed	Abstract A one-dimensional array of diffusively coupled identical oscillators is considered. It is demonstrated that coupling of two, three, four, and six oscillators can create chaos with one, two, three, and four positive Lyapunov characteristic exponents, respectively. We suggest that the turbulent behavior found with many coupled cells can be explained in terms of a high-order chaotic attractor. © 1946 – 2014: Verlag der Zeitschrift für Naturforschung
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title_short	Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators
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Transition to Higher Chaos in Diffusively Coupled Chemical Oscillators

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