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Author Cisternas, J.; Mellado, P.; Urbina, F.; Portilla, C.; Carrasco, M.; Concha, A. doi  openurl
  Title Stable and unstable trajectories in a dipolar chain Type
  Year 2021 Publication Physical Review B Abbreviated Journal Phys. Rev. B  
  Volume 103 Issue 13 Pages 134443  
  Keywords MAGNETIC MONOPOLES; CRYSTAL STATISTICS; INTERFERENCE; HYSTERESIS; RELAXATION; ENTROPY  
  Abstract In classical mechanics, solutions can be classified according to their stability. Each of them is part of the possible trajectories of the system. However, the signatures of unstable solutions are hard to observe in an experiment, and most of the times if the experimental realization is adiabatic, they are considered just a nuisance. Here we use a small number of XY magnetic dipoles subject to an external magnetic field for studying the origin of their collective magnetic response. Using bifurcation theory we have found all the possible solutions being stable or unstable, and explored how those solutions are naturally connected by points where the symmetries of the system are lost or restored. Unstable solutions that reveal the symmetries of the system are found to be the culprit that shape hysteresis loops in this system. The complexity of the solutions for the nonlinear dynamics is analyzed using the concept of boundary basin entropy, finding that the damping timescale is critical for the emergence of fractal structures in the basins of attraction. Furthermore, we numerically found domain wall solutions that are the smallest possible realizations of transverse walls and vortex walls in magnetism. We experimentally confirmed their existence and stability showing that our system is a suitable platform to study domain wall dynamics at the macroscale.  
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  ISSN 2469-9950 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000646311300001 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1386  
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