On the asymptotic wavenumber of spiral waves in λ−ω systems
In this paper we consider spiral wave solutions of a general class of λ−ω systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a C∞-flat function of the perturbation parameter q.
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| Published in | Nonlinearity Vol. 30; no. 1; pp. 90 - 114 |
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| Main Authors | , , |
| Format | Journal Article Publication |
| Language | English |
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IOP Publishing
01.01.2017
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| Online Access | Get full text |
| ISSN | 0951-7715 1361-6544 |
| DOI | 10.1088/1361-6544/30/1/90 |
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| Abstract | In this paper we consider spiral wave solutions of a general class of λ−ω systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a C∞-flat function of the perturbation parameter q. |
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| AbstractList | In this paper we consider spiral wave solutions of a general class of $lambda -omega $ systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a ${{mathcal{C}}^{infty}}$ -flat function of the perturbation parameter q.
Peer Reviewed In this paper we consider spiral wave solutions of a general class of λ−ω systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a C∞-flat function of the perturbation parameter q. |
| Author | Aguareles, M M-Seara, T Baldomà, I |
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| Cites_doi | 10.5802/tsg.3 10.1016/0196-8858(81)90044-0 10.1080/10586458.2015.1076361 10.1007/978-3-642-69689-3 10.1137/S0036141097318948 10.1088/0951-7715/24/10/009 10.1007/s002200050553 10.4310/jdg/1214437138 10.1137/0142054 10.1088/0951-7715/29/1/198 10.1126/science.2011747 10.1038/225535b0 10.1016/j.jde.2012.09.003 10.1016/S0167-2789(97)00025-0 10.1016/j.physd.2009.12.003 10.1017/S095679250500639X 10.1126/science.175.4022.634 10.1016/0196-8858(81)90043-9 |
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| Contributor | Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC Universitat Politècnica de Catalunya. Departament de Matemàtiques |
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| References | 12 14 16 17 18 19 Abramowitz M (3) 1964 Kuramoto Y (11) 1984 2 4 5 6 7 Aguareles M (1) 2011; 24 8 Martín P (15) 2016; 29 9 Marvizi S (13) 1982; 17 10 |
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| Snippet | In this paper we consider spiral wave solutions of a general class of λ−ω systems with a small twist parameter q and we prove that the asymptotic wavenumber of... In this paper we consider spiral wave solutions of a general class of $lambda -omega $ systems with a small twist parameter q and we prove that the asymptotic... |
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| SubjectTerms | 30E25 34E05 Asymptotic methods asymptotic wavenumber asymptotic wavenumber Mathematics Subject Classification numbers: 34B18 Equacions diferencials flat function Inverse problems (Differential equations) Matemàtiques i estadística Àrees temàtiques de la UPC |
| Title | On the asymptotic wavenumber of spiral waves in λ−ω systems |
| URI | https://iopscience.iop.org/article/10.1088/1361-6544/30/1/90 https://recercat.cat/handle/2072/281543 |
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