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Stability of oscillating hexagons in rotating convection
dc.contributor.author | Echebarría Domínguez, Blas |
dc.contributor.author | Riecke, Hermann |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.date.accessioned | 2019-04-04T11:53:12Z |
dc.date.available | 2019-04-04T11:53:12Z |
dc.date.issued | 2000 |
dc.identifier.citation | Echebarria, B.; Riecke, H. Stability of oscillating hexagons in rotating convection. "Physica. D, Nonlinear phenomena", 2000, vol. 143, núm. 1-4, p. 187-204. |
dc.identifier.issn | 0167-2789 |
dc.identifier.other | https://arxiv.org/abs/nlin/0002038 |
dc.identifier.uri | http://hdl.handle.net/2117/131274 |
dc.description.abstract | Breaking the chiral symmetry, rotation induces a secondary Hopf bifurcation in weakly nonlinear hexagon patterns which gives rise to oscillating hexagons. We study the stability of the oscillating hexagons using three coupled Ginzburg–Landau equations. Close to the bifurcation point, we derive reduced equations for the amplitude of the oscillation, coupled to the phase of the underlying hexagons. Within these equations, we identify two types of long-wave instabilities and study the ensuing dynamics using numerical simulations of the three coupled Ginzburg–Landau equations. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
dc.subject.lcsh | Nonlinear systems |
dc.subject.lcsh | Nonlinear oscillations |
dc.subject.other | Hexagon patterns |
dc.subject.other | Rotating convection |
dc.subject.other | Ginzburg–Landau equation |
dc.subject.other | Phase equation |
dc.subject.other | Side-band instabilities |
dc.subject.other | Spatio-temporal chaos |
dc.subject.other | Traveling waves |
dc.title | Stability of oscillating hexagons in rotating convection |
dc.type | Article |
dc.subject.lemac | Sistemes no lineals |
dc.subject.lemac | Oscil·lacions no lineals |
dc.contributor.group | Universitat Politècnica de Catalunya. BIOCOM-SC - Grup de Biologia Computacional i Sistemes Complexos |
dc.identifier.doi | 10.1016/S0167-2789(00)00101-9 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 4474898 |
dc.description.version | Preprint |
local.citation.author | Echebarria, B.; Riecke, H. |
local.citation.publicationName | Physica. D, Nonlinear phenomena |
local.citation.volume | 143 |
local.citation.number | 1-4 |
local.citation.startingPage | 187 |
local.citation.endingPage | 204 |
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