Experimental study of the irrational phase synchronization of coupled nonidentical mechanical metronomes.
biomechanical · Level V
Where this comes from
- Record sourced from PubMed, PMID 25786222.
- Also identified by DOI 10.1371/journal.pone.0118986 and PMC identifier 4364733.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
Abstract
It has recently been observed in numerical simulations that the phases of two coupled nonlinear oscillators can become locked into an irrational ratio, exhibiting the phenomenon of irrational phase synchronization (IPS) [Phys. Rev. E 69, 056228 (2004)]. Here, using two coupled nonidentical periodic mechanical metronomes, we revisit this interesting phenomenon through experimental studies. It is demonstrated that under suitable couplings, the phases of the metronomes indeed can become locked into irrational ratios. Numerical simulations confirm the experimental observations and also reveal that in the IPS state, the system dynamics are chaotic. Our studies provide a solid step toward further studies of IPS.
Medical subject headings
- Nonlinear Dynamics