Oscillating localized structures in reaction-diffusion systems

Orazio Descalzi; Yumino Hayase; Helmut R. Brand

doi:10.1142/S0218127404011806

Oscillating localized structures in reaction-diffusion systems

Orazio Descalzi^*
, Yumino Hayase
, Helmut R. Brand

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

11 Citas (Scopus)

Resumen

Oscillating localized structures are studied for a simple reaction–diffusion model from an analytical point of view. The result is a particle solution which acts as a source of traveling waves. The analytical expressions obtained are in good agreement with direct numerical simulations.

Idioma original	Inglés
Número de artículo	01180
Páginas (desde-hasta)	4097-4104
Número de páginas	8
Publicación	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volumen	14
N.º	12
DOI	https://doi.org/10.1142/S0218127404011806
Estado	Publicada - dic. 2004

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@article{dccf6e96ce484e758213c4e99b8ca69a,

title = "Oscillating localized structures in reaction-diffusion systems",

abstract = "Oscillating localized structures are studied for a simple reaction-diffusion model from an analytical point of view. The result is a particle solution which acts as a source of traveling waves. The analytical expressions obtained are in good agreement with direct numerical simulations.",

keywords = "Oscillating localized structures, Reaction-diffusion models, Saddle-node bifurcation",

author = "Orazio Descalzi and Yumino Hayase and Brand, \{Helmut R.\}",

note = "Funding Information: O. Descalzi wishes to thank the support of FAI (Project ICIV-001-04, U. de los Andes), Fondecyt (Project 1020374) and DFG. Y. Hayase thanks the Alexander von Humboldt-Foundation for the award of an AvH-Fellowship. H. R. Brand thanks the Deutsche Forschungsgemeinschaft (DFG) for partial support of this work.",

year = "2004",

month = dec,

doi = "10.1142/S0218127404011806",

language = "English",

volume = "14",

pages = "4097--4104",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific",

number = "12",

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T1 - Oscillating localized structures in reaction-diffusion systems

AU - Descalzi, Orazio

AU - Hayase, Yumino

AU - Brand, Helmut R.

N1 - Funding Information: O. Descalzi wishes to thank the support of FAI (Project ICIV-001-04, U. de los Andes), Fondecyt (Project 1020374) and DFG. Y. Hayase thanks the Alexander von Humboldt-Foundation for the award of an AvH-Fellowship. H. R. Brand thanks the Deutsche Forschungsgemeinschaft (DFG) for partial support of this work.

PY - 2004/12

Y1 - 2004/12

N2 - Oscillating localized structures are studied for a simple reaction-diffusion model from an analytical point of view. The result is a particle solution which acts as a source of traveling waves. The analytical expressions obtained are in good agreement with direct numerical simulations.

AB - Oscillating localized structures are studied for a simple reaction-diffusion model from an analytical point of view. The result is a particle solution which acts as a source of traveling waves. The analytical expressions obtained are in good agreement with direct numerical simulations.

KW - Oscillating localized structures

KW - Reaction-diffusion models

KW - Saddle-node bifurcation

UR - https://www.scopus.com/pages/publications/14844292164

U2 - 10.1142/S0218127404011806

DO - 10.1142/S0218127404011806

M3 - Article

AN - SCOPUS:14844292164

SN - 0218-1274

VL - 14

SP - 4097

EP - 4104

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 12

M1 - 01180

ER -

Oscillating localized structures in reaction-diffusion systems

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