In this work we analyze symmetry locking phenomena in loop networks with periodically switchedconnections. Exploiting the spatio-temporal symmetry properties of the system, we compute the rotation numbers oflocked periodic regimes for which symmetry locking occurs. As a bifurcation parameter is varied, we compute thecomplete Devil’s staircase reporting the symmetry of the locked periodic regimes.

Devil's staircases in loop networks with symmetry locking

Mancusi E
2013

Abstract

In this work we analyze symmetry locking phenomena in loop networks with periodically switchedconnections. Exploiting the spatio-temporal symmetry properties of the system, we compute the rotation numbers oflocked periodic regimes for which symmetry locking occurs. As a bifurcation parameter is varied, we compute thecomplete Devil’s staircase reporting the symmetry of the locked periodic regimes.
spatio-temporal symmetry; periodically forced network; rotation number
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12070/11127
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