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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Article number	01180
Pages (from-to)	4097-4104
Number of pages	8
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	14
Issue number	12
DOIs	https://doi.org/10.1142/S0218127404011806
State	Published - Dec 2004

Bibliographical 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.

Keywords

Oscillating localized structures
Reaction-diffusion models
Saddle-node bifurcation

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10.1142/S0218127404011806

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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.",

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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

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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

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M1 - 01180

ER -

Oscillating localized structures in reaction-diffusion systems

Abstract

Bibliographical note

Keywords

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