Erratum: Target patterns in a 2D array of oscillators with nonlocal coupling (Nonlinearity (2018) 31 (4162) DOI: 10.1088/1361-6544/aac9a6)

Gabriela Jaramillo; Shankar C. Venkataramani

doi:10.1088/1361-6544/ac94b1

Erratum: Target patterns in a 2D array of oscillators with nonlocal coupling (Nonlinearity (2018) 31 (4162) DOI: 10.1088/1361-6544/aac9a6)

Gabriela Jaramillo, Shankar C. Venkataramani

Research output: Contribution to journal › Comment/debate › peer-review

Abstract

We correct the statement of lemma 3.5 in [Jaramillo et al (2018 Nonlinearity 31 4162)]. The lemma establishes Fredholm properties for a specific radial operator, which in the original paper is incorrectly defined. The error does not alter our main theorem, but does affect the proof of a subsequent result, lemma 4.11, which we fix in this corrigendum.

Original language	English (US)
Pages (from-to)	C21-C22
Journal	Nonlinearity
Volume	35
Issue number	12
DOIs	https://doi.org/10.1088/1361-6544/ac94b1
State	Published - Dec 1 2022

Keywords

nonlocal coupling
oscillatory media
target patterns

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/ac94b1

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abstract = "We correct the statement of lemma 3.5 in [Jaramillo et al (2018 Nonlinearity 31 4162)]. The lemma establishes Fredholm properties for a specific radial operator, which in the original paper is incorrectly defined. The error does not alter our main theorem, but does affect the proof of a subsequent result, lemma 4.11, which we fix in this corrigendum.",

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author = "Gabriela Jaramillo and Venkataramani, {Shankar C.}",

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N2 - We correct the statement of lemma 3.5 in [Jaramillo et al (2018 Nonlinearity 31 4162)]. The lemma establishes Fredholm properties for a specific radial operator, which in the original paper is incorrectly defined. The error does not alter our main theorem, but does affect the proof of a subsequent result, lemma 4.11, which we fix in this corrigendum.

AB - We correct the statement of lemma 3.5 in [Jaramillo et al (2018 Nonlinearity 31 4162)]. The lemma establishes Fredholm properties for a specific radial operator, which in the original paper is incorrectly defined. The error does not alter our main theorem, but does affect the proof of a subsequent result, lemma 4.11, which we fix in this corrigendum.

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KW - target patterns

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Erratum: Target patterns in a 2D array of oscillators with nonlocal coupling (Nonlinearity (2018) 31 (4162) DOI: 10.1088/1361-6544/aac9a6)

Abstract

Keywords

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