title: Arnold tongue of electrochemical nonlinear oscillators.
abstract: We study the Arnold tongue of a nonlinear electrochemical oscillator entrained to an electrical periodic forcing. In our system, the width of the 1:3 entrainment region was broader than that of the 1:2 region. The 1:1 and 1:3 regions became monotonically broad when the conductance of the electrode cell was increased by the electrochemical redox reaction of Fe(CN)(6)(4-) <==> Fe(CN)(6)(3-) + e. In contrast, the 1:2 region changed nonmonotonically. In particular, the rate of change in the 1:2 region was greater than those of the 1:1 and 1:3 regions. These experimental results were qualitatively reproduced by the use of phase response curves of a corresponding mathematical model. We also discuss higher harmonics included in a limit cycle describing the isolated oscillator, dependence on the redox reaction, and hysteresis due to a bistability.
authors.affiliation: Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan. nakatas@hiroshima-u.ac.jp
authors.forename: Satoshi
authors.initials: S
authors.lastname: Nakata
authors.forename: Kazuya
authors.initials: K
authors.lastname: Miyazaki
authors.forename: Suguru
authors.initials: S
authors.lastname: Izuhara
authors.forename: Hirokazu
authors.initials: H
authors.lastname: Yamaoka
authors.forename: Dan
authors.initials: D
authors.lastname: Tanaka