Academic Journal
Stability of oscillating hexagons in rotating convection
| العنوان: | Stability of oscillating hexagons in rotating convection |
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| المؤلفون: | Echebarría Domínguez, Blas, Riecke, Hermann |
| المساهمون: | Universitat Politècnica de Catalunya. Departament de Física, Universitat Politècnica de Catalunya. BIOCOM-SC - Grup de Biologia Computacional i Sistemes Complexos |
| سنة النشر: | 2000 |
| المجموعة: | Universitat Politècnica de Catalunya (UPC): Tesis Doctorals en Xarxa (TDX) / Theses and Dissertations Online |
| مصطلحات موضوعية: | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics, Nonlinear systems, Nonlinear oscillations, Hexagon patterns, Rotating convection, Ginzburg–Landau equation, Phase equation, Side-band instabilities, Spatio-temporal chaos, Traveling waves, Sistemes no lineals, Oscil·lacions no lineals |
| الوصف: | 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. ; Peer Reviewed ; Preprint |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | 18 p. |
| اللغة: | English |
| تدمد: | 0167-2789 |
| Relation: | Echebarria, B.; Riecke, H. Stability of oscillating hexagons in rotating convection. "Physica. D, Nonlinear phenomena", 2000, vol. 143, núm. 1-4, p. 187-204.; https://arxiv.org/abs/nlin/0002038; http://hdl.handle.net/2117/131274 |
| DOI: | 10.1016/S0167-2789(00)00101-9 |
| الاتاحة: | https://arxiv.org/abs/nlin/0002038 http://hdl.handle.net/2117/131274 https://doi.org/10.1016/S0167-2789(00)00101-9 |
| Rights: | Attribution-NonCommercial-NoDerivs 3.0 Spain ; http://creativecommons.org/licenses/by-nc-nd/3.0/es/ ; Open Access |
| رقم الانضمام: | edsbas.90AE1A8A |
| قاعدة البيانات: | BASE |
| تدمد: | 01672789 |
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| DOI: | 10.1016/S0167-2789(00)00101-9 |