SPATIOTEMPORAL VERSUS TEMPORAL CHAOS IN A SPATIALLY EXTENDED MAGNETIC DYNAMIC SYSTEM

Nonlinear dynamical states of a spatially extended micromagnetic system - the Bloch wall - were analyzed by means of spatio-temporal diagrams and power spectral analysis in the spatial frequency domain. The system studied exhibits chaotic dynamics with propagating coherent spatial structures - Bloch lines - which have soliton properties. Although it is spatially extended only temporal chaos occurs. The symptoms of this type of chaos (spatially complex patterns changing violently with the time) in such a spatially extended system should not be confused with chaos in the space and the time simultaneously. The system is not spatially chaotic due to the existence in it of coherent spatial structures with a fixed length scale (kink solitons). In particular, the spatio-temporal diagrams certainly look complicated enough but spatial power spectra show only a low number of modes at a given time.