Identification of symmetry breaking and a bifurcation sequence to chaos in single particle dynamics in magnetic reversals
The authors show how the underlying dynamics in magnetic reversals with shear component differs from one with zero shear. The crucial difference from the shear free case is that the Hamiltonian takes a distinctively different form. The authors use numerically integrated trajectories to show that the effect of the shear field breaks the symmetry of the system so that the topology of the invariant tori of regular orbits is changed. The interplay of 3D trajectories and SOS plots have played an decisive role in the present effort to understand the properties of the studied system. The route to chaos is via (period doubling) bifurcation of the Möbius strip tori.
scientific article; zbMATH DE number 1515734