Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion

This paper focuses on the impact of cross-diffusion for Turing-Hopf instability in a morphochemical model for electrodeposition (DIB) and completes the analysis on the role of cross-diffusion on pattern formation in electrodeposition we recently carried out in [Lacitignola et al. 2018]. We derive an...

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Autores principales:	Deborah Lacitignola, Ivonne Sgura, Benedetto Bozzini
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Pattern formation Cross-diffusion Turing-Hopf instability ADI method Finite differences Battery modeling Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/92d82813462c49f2bd425b7159d7cf25
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spelling	oai:doaj.org-article:92d82813462c49f2bd425b7159d7cf252021-12-01T05:05:54ZTuring-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion2666-496810.1016/j.apples.2020.100034https://doaj.org/article/92d82813462c49f2bd425b7159d7cf252021-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496820300340https://doaj.org/toc/2666-4968This paper focuses on the impact of cross-diffusion for Turing-Hopf instability in a morphochemical model for electrodeposition (DIB) and completes the analysis on the role of cross-diffusion on pattern formation in electrodeposition we recently carried out in [Lacitignola et al. 2018]. We derive and discuss conditions for the destabilization a´ la Turing of the Hopf limit cycle in the neighborhood of the codimension-two Turing-Hopf bifurcation point, resulting in oscillatory Turing patterns. Numerical validation of the above theoretical findings is provided both in the case of Weak and Strong Turing-Hopf instability. Experimental evidence of this kind of phenomenology is then discussed also in relation to the charging and discharging process of a battery.Deborah LacitignolaIvonne SguraBenedetto BozziniElsevierarticlePattern formationCross-diffusionTuring-Hopf instabilityADI methodFinite differencesBattery modelingEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 5, Iss , Pp 100034- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Pattern formation Cross-diffusion Turing-Hopf instability ADI method Finite differences Battery modeling Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Pattern formation Cross-diffusion Turing-Hopf instability ADI method Finite differences Battery modeling Engineering (General). Civil engineering (General) TA1-2040 Deborah Lacitignola Ivonne Sgura Benedetto Bozzini Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
description	This paper focuses on the impact of cross-diffusion for Turing-Hopf instability in a morphochemical model for electrodeposition (DIB) and completes the analysis on the role of cross-diffusion on pattern formation in electrodeposition we recently carried out in [Lacitignola et al. 2018]. We derive and discuss conditions for the destabilization a´ la Turing of the Hopf limit cycle in the neighborhood of the codimension-two Turing-Hopf bifurcation point, resulting in oscillatory Turing patterns. Numerical validation of the above theoretical findings is provided both in the case of Weak and Strong Turing-Hopf instability. Experimental evidence of this kind of phenomenology is then discussed also in relation to the charging and discharging process of a battery.
format	article
author	Deborah Lacitignola Ivonne Sgura Benedetto Bozzini
author_facet	Deborah Lacitignola Ivonne Sgura Benedetto Bozzini
author_sort	Deborah Lacitignola
title	Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
title_short	Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
title_full	Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
title_fullStr	Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
title_full_unstemmed	Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
title_sort	turing-hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/92d82813462c49f2bd425b7159d7cf25
work_keys_str_mv	AT deborahlacitignola turinghopfpatternsinamorphochemicalmodelforelectrodepositionwithcrossdiffusion AT ivonnesgura turinghopfpatternsinamorphochemicalmodelforelectrodepositionwithcrossdiffusion AT benedettobozzini turinghopfpatternsinamorphochemicalmodelforelectrodepositionwithcrossdiffusion
_version_	1718405555985317888

Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion

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