title: Experimental and modeling analysis of asymmetrical on-off oscillation in coupled non-identical inverted bottle oscillators.
abstract: Upside-down bottles containing water which are common in our daily life exhibit rich vibration dynamics. Rich dynamic regimes are observed in bottle oscillators by directly measuring the pressure difference between inside and outside of a bottle with the aid of pressure sensors. We observe experimentally that an asymmetrical oscillation process between the outflow of water and the inflow of air is formed in a single bottle oscillator and, in addition, a kind of 2:1 frequency synchronization occurs in a coupled system of two non-identical bottle oscillators. The peak values of the oscillation of pressure differences between inside and outside of the bottle decease as the height of the liquid surface steps down, while the oscillation period increases gradually. The theoretical model of the oscillator is amended to understand the regimes in the experiment by introducing time-dependent parameters related to the asymmetrical oscillation processes. Our numerical results based on the model fit well with the experimental ones.
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
authors.forename: Ji
authors.initials: J
authors.lastname: Jia
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
authors.forename: Zhichun
authors.initials: Z
authors.lastname: Shangguan
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
authors.forename: Haihong
authors.initials: H
authors.lastname: Li
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
authors.forename: Ye
authors.initials: Y
authors.lastname: Wu
authors.affiliation: School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China.
authors.forename: Weiqing
authors.initials: W
authors.lastname: Liu
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
authors.forename: Jinghua
authors.initials: J
authors.lastname: Xiao
authors.affiliation: Institute of Physics, Humboldt University Berlin, Berlin D-12489, Germany.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths