Dynamics of an interface connecting a stripe pattern and a uniform state: Amended newell-whitehead-segel equation

René G. Rojas; Ricardo G. ElÍas; Marcel G. Clerc

doi:10.1142/S0218127409024499

Dynamics of an interface connecting a stripe pattern and a uniform state: Amended newell-whitehead-segel equation

René G. Rojas, Ricardo G. ElÍas, Marcel G. Clerc

INSTITUTE OF PHYSICS

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

2 Scopus citations

Abstract

The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, NewellWhiteheadSegel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified manner. This model exhibits a rich and complex transversal dynamics at the interface, including front propagations, transversal patterns, locking phenomenon, and transversal localized structures.

Original language	English
Pages (from-to)	2801-2812
Number of pages	12
Journal	International Journal of Bifurcation and Chaos
Volume	19
Issue number	8
DOIs	https://doi.org/10.1142/S0218127409024499
State	Published - Aug 2009

Keywords

Amplitude equations
Interface dynamics
Localized structures

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10.1142/S0218127409024499

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title = "Dynamics of an interface connecting a stripe pattern and a uniform state: Amended newell-whitehead-segel equation",

abstract = "The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, NewellWhiteheadSegel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified manner. This model exhibits a rich and complex transversal dynamics at the interface, including front propagations, transversal patterns, locking phenomenon, and transversal localized structures.",

keywords = "Amplitude equations, Interface dynamics, Localized structures",

author = "Rojas, {Ren{\'e} G.} and El{\'I}as, {Ricardo G.} and Clerc, {Marcel G.}",

note = "Funding Information: The authors thank D. Asenjo for useful discussions. The simulation software DimX developed at INLN, France, has been used for all the numerical simulations. The authors acknowledge the support of Pro-grama Anillo ACT 15 of Programa Bicentenario de Ciencia y Tecnolog{\'i}a of the Chilean government. M. G. Clerc thanks the support of FONDAP grant 11980002. R. Rojas thanks the financial support of Fondecyt 3070039.",

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doi = "10.1142/S0218127409024499",

language = "English",

volume = "19",

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AU - ElÍas, Ricardo G.

AU - Clerc, Marcel G.

N1 - Funding Information: The authors thank D. Asenjo for useful discussions. The simulation software DimX developed at INLN, France, has been used for all the numerical simulations. The authors acknowledge the support of Pro-grama Anillo ACT 15 of Programa Bicentenario de Ciencia y Tecnología of the Chilean government. M. G. Clerc thanks the support of FONDAP grant 11980002. R. Rojas thanks the financial support of Fondecyt 3070039.

PY - 2009/8

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N2 - The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, NewellWhiteheadSegel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified manner. This model exhibits a rich and complex transversal dynamics at the interface, including front propagations, transversal patterns, locking phenomenon, and transversal localized structures.

AB - The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, NewellWhiteheadSegel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified manner. This model exhibits a rich and complex transversal dynamics at the interface, including front propagations, transversal patterns, locking phenomenon, and transversal localized structures.

KW - Amplitude equations

KW - Interface dynamics

KW - Localized structures

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JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

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ER -

Dynamics of an interface connecting a stripe pattern and a uniform state: Amended newell-whitehead-segel equation

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Keywords

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