Abstract：
:We consider escape from a metastable state of a nonlinear oscillator driven close to triple its eigenfrequency. The oscillator can have three stable states of period-3 vibrations and a zero-amplitude state. Because of the symmetry of period-tripling, the zero-amplitude state remains stable as the driving increases. However, it becomes shallow in the sense that the rate of escape from this state exponentially increases, while the system still lacks detailed balance. We find the escape rate and show how it scales with the parameters of the oscillator and the driving. The results facilitate using nanomechanical, Josephson-junction based, and other mesoscopic vibrational systems for studying, in a well-controlled setting, the rates of rare events in systems lacking detailed balance. They also describe how fluctuations spontaneously break the time-translation symmetry of a driven oscillator.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Tadokoro Y,Tanaka H,Dykman MIdoi
10.1038/s41598-020-66243-ysubject
Has Abstractpub_date
2020-06-26 00:00:00pages
10413issue
1issn
2045-2322pii
10.1038/s41598-020-66243-yjournal_volume
10pub_type
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