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20002026
most citedDynamo Transition in Low-dimensional Models

52 citations · 301 across the 27 of their papers we have counts for

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5 papers · 1 filter

nlin.PS2013★ 21 cited

Pattern dynamics near homoclinic bifurcation in Rayleigh-Bénard convection

Pinaki Pal, Krishna Kumar, Priyanka Maity +1

We report for the first time the pattern dynamics in the vicinity of an inverse homoclinic bifurcation in an extended dissipative system. We observe, in direct numerical simulation…

nlin.PS2013★ 25 cited

Role of uniform horizontal magnetic field on convective flow

Pinaki Pal, Krishna Kumar

The effect of uniform magnetic field applied along a fixed horizontal direction in Rayleigh-Bénard convection in low-Prandtl-number fluids has been studied using a low dimensional…

nlin.PS2001★ 12 cited

Wavy stripes and squares in zero P number convection

Pinaki Pal, Krishna Kumar

A simple model to explain numerically observed behaviour of chaotically varying stripes and square patterns in zero Prandtl number convection in Boussinesq fluid is presented. The…

nlin.PS2000★ 1 cited

A model for interacting instabilities and texture dynamics of patterns

Alaka Das, Krishna Kumar, Narayanasamy Ganesh

A simple model to study interacting instabilities and textures of resulting patterns for thermal convection is presented. The model consisting of twelve-mode dynamical system deriv…

nlin.PS2000★ 11 cited

Asymmetric Squares as Standing Waves in Rayleigh-Benard Convection

Alaka Das, Ujjal Ghosal, Krishna Kumar

Possibility of asymmetric square convection is investigated numerically using a few mode Lorenz-like model for thermal convection in Boussinesq fluids confined between two stress f…