https://doi.org/10.1140/epjst/e2017-70006-8
Regular Article
Bursting dynamics in Rayleigh-Bénard convection
1 Basantapur Adibasi High School, Purulia 723131, West Bengal, India
2 Department of Mathematics, National Institute of Technology, Durgapur 713209, India
3 CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India
a e-mail: pinaki.pal@maths.nitdgp.ac.in
Received: 18 January 2017
Revised: 23 March 2017
Published online: 21 June 2017
We report bursting dynamics in a parametrically driven Rayleigh-Bénard 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.
© EDP Sciences, Springer-Verlag, 2017
