Sparse identification of a predator-prey system from simulation data of a convection model
| العنوان: | Sparse identification of a predator-prey system from simulation data of a convection model |
|---|---|
| المؤلفون: | Jan S. Hesthaven, Magnus Dam, J. Juul Rasmussen, Volker Naulin, Morten Brøns |
| المصدر: | Dam, M, Brøns, M, Rasmussen, J J, Naulin, V & Hesthaven, J S 2017, ' Sparse identification of a predator-prey system from simulation data of a convection model ', Physics of Plasmas, vol. 24, no. 2, 022310 . https://doi.org/10.1063/1.4977057 Physics of Plasmas |
| سنة النشر: | 2017 |
| مصطلحات موضوعية: | Physics, State variable, Dynamical systems theory, Turbulence, Mechanics, Zonal flow (plasma), Condensed Matter Physics, Dynamical system, 01 natural sciences, 010305 fluids & plasmas, Nonlinear system, Classical mechanics, 0103 physical sciences, Initial value problem, 010306 general physics, Bifurcation |
| الوصف: | The use of low-dimensional dynamical systems as reduced models for plasma dynamics is useful as solving an initial value problem requires much less computational resources than fluid simulations. We utilize a data-driven modeling approach to identify a reduced model from simulation data of a convection problem. A convection model with a pressure source centered at the inner boundary models the edge dynamics of a magnetically confined plasma. The convection problem undergoes a sequence of bifurcations as the strength of the pressure source increases. The time evolution of the energies of the pressure profile, the turbulent flow, and the zonal flow capture the fundamental dynamic behavior of the full system. By applying the sparse identification of nonlinear dynamics (SINDy) method, we identify a predator-prey type dynamical system that approximates the underlying dynamics of the three energy state variables. A bifurcation analysis of the system reveals consistency between the bifurcation structures, observed for the simulation data, and the identified underlying system. |
| وصف الملف: | application/pdf |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41c9904e1cb09cf73496d71199515faa https://orbit.dtu.dk/en/publications/1659f3d5-909b-49f7-8ff9-2836e2553cf9 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....41c9904e1cb09cf73496d71199515faa |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |