Bursting dynamics in Rayleigh-Benard convection

被引：4
作者：
Dan, Surajit [1 ]
Ghosh, Manojit [2 ]
Nandukumar, Yada [2 ]
Dana, Syamal K. [3 ]
Pal, Pinaki [2 ]
机构：
[1] Basantapur Adibasi High Sch, Purulia 723131, W Bengal, India
[2] Natl Inst Technol, Dept Math, Durgapur 713209, India
[3] CSIR Indian Inst Chem Biol, Kolkata 700032, India
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2017年 / 226卷 / 09期
关键词：
PRANDTL-NUMBER CONVECTION; STRESS-FREE BOUNDARIES; BIFURCATION; ROLLS; FLOW;
D O I：
10.1140/epjst/e2017-70006-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We report bursting dynamics in a parametrically driven Rayleigh-B,nard convection (RBC) model of low Prandtl-number fluids with free-slip boundary conditions. A four dimensional RBC model [P. Pal, K. Kumar, P. Maity, S.K. Dana, Phys. Rev. E 87, 023001 (2013)] is used for this study. The dynamical system shows pitchfork, Hopf and gluing bifurcations near the onset of RBC of low Prandtl-number fluids. Around the bifurcation points, when the Rayleigh number of the system is slowly modulated periodically, two unknown kinds of bursting appears, namely, Hopf/Hopf via pitchfork bifurcation and Hopf/Hopf via gluing bifurcation besides the conventional Hopf/Hopf (elliptical) and pitchfork/pitchfork bursting.
引用
收藏
页码：2089 / 2099
页数：11
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