Panjab University
Chandigarh, India
Pattern formation in magnetic fluid is inherently nonlinear process and constitute an active area of both experimental and theoretical research. In this review talk, using symmetric bifurcation theory and singularity theory, the various patterns in normal field instability, Rayleigh Bernard Convection and double Diffusion convection in magnetic fluids will be discussed.
In ferro-fluid convection only rolls are found to be stable whereas squares and hexagons are unstable. However in the normal field instability the ridges are unstable and squares and hexagons are only possible solutions as observed in experiments.
In the study of parametric nonlinear Faraday instability in the presence of magnetic field using the phase plots, Poincare' section, time series, power spectrum and Lyapunov spectrum, the existence of Hopf bifurcation which ultimately leads to chaos will be presented.