Abstract
Recently we have studied the non-linear dynamics of a charged particle in x-y plane in presence of a magnetic field. Velocity dependent coupling through magnetic field between motion along x and y directions may induce chaos (stochasticity) in the deterministic system. If the applied magnetic field is time dependent, then for any initial condition dynamics is chaotic. We have qualitatively accounted for the chaotic dynamics based on Hamiltonian description of motion in terms of action and angle variables. Our study also shows that time dependent magnetic field (TDMF) can induce chaos even in a linear system. It implies that dynamics of quantum dot in presence of a TDMF may be chaotic. For the linear system we have determined condition of chaos. Finally, appearance of chaos in the linear system clearly indicates that in presence of a time dependent magnetic field chaotic dynamics of a charged particle in real (nonlinear) system is a universal feature.
