Bifurcation and chaos in zero-Prandtl-number convectionP. Pal1, P. Wahi2, S. Paul1, M. K. Verma1, K. Kumar3 and P. K. Mishra1
1 Department of Physics, Indian Institute of Technology - Kanpur, India
2 Department of Mechanical Engineering, Indian Institute of Technology - Kanpur, India
3 Department of Physics and Meteorology, Indian Institute of Technology - Kharagpur, India
received 1 June 2009; accepted in final form 21 August 2009; published September 2009
published online 22 September 2009
We present a detailed bifurcation structure and associated flow patterns near the onset of zero-Prandtl-number Rayleigh-Bénard convection. We employ both direct numerical simulation and a low-dimensional model ensuring qualitative agreement between the two. Various flow patterns originate from a stationary square observed at a higher Rayleigh number through a series of bifurcations starting from a pitchfork followed by a Hopf and finally a homoclinic bifurcation as the Rayleigh number is reduced to the critical value. Homoclinic chaos, intermittency, and crises are observed near the onset.
47.20.Bp - Buoyancy-driven instabilities (e.g., Rayleigh-Benard).
47.20.Ky - Nonlinearity, bifurcation, and symmetry breaking.
47.27.ed - Dynamical systems approaches.
© EPLA 2009