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Experimental Observation of Classical Dynamical Monodromy

Nerem, M. P.
; 
Salmon, D.
; 
Aubin, Seth
; 
Delos, John B.
Abstract
A Hamiltonian system is said to have nontrivial monodromy if its fundamental action-angle loops do not return to their initial topological state at the end of a closed circuit in angular momentum-energy space. This process has been predicted to have consequences which can be seen in dynamical systems, called dynamical monodromy. Using an apparatus consisting of a spherical pendulum subject to magnetic potentials and torques, we observe nontrivial monodromy by the associated topological change in the evolution of a loop of trajectories.
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2018-03-01
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Physics
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PhysRevLett.120.134301.pdf
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Physics
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https://doi.org/10.1103/PhysRevLett.120.134301
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https://scholarworks.wm.edu/handle/internal/1296
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