Magnetic Dipole Clusters - Resurrection of Catastrophe Machines (V1.1)
Description
Hysteretic transitions between stable configurations of a hexagonal magnetic dipole cluster [1] are set in a broader context by revealing the nature of the corresponding instabilities [2]. Following the animation of this bifurcation scenario [3], we present an experimental setup where the height of the centre dipole serves as the bifurcation parameter. This catastrophe machine demonstrates the two instabilities forming the hysteresis loop, and it might provide a hint to the unresolved puzzle of the slowing down of one of the eigenmodes [4].
[1] Andrew D.P. Smith et al., JMMM 549, 168991 (2022).
[2] Simeon Völkel et al., JMMM 559, 169520 (2022).
[3] https://doi.org/10.5281/zenodo.6380539 (18.5.2022).
[4] Peter T. Haugen et al., Chaos 32, 063108 (2022).
Notes (English)
The movies in Version 1.1 are created with an updated version (V 1.2.3) of the corresponding Python script (10.5281/zenodo.6380539). The full bifurcation diagrams can now be seen in the pdf-file. A slide illustrating the remark about the 3d-transition is added there. For the animated version and the movie of the experiment the pptx-file is provided.
Files
Slides from Magnetic Diplol Clusters - Resurrection of catastrophe machines-V1.1.pdf
Files
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Additional details
Related works
- Cites
- 10.5281/zenodo.6380539 (DOI)
Dates
- Created
-
2024-02-03