Self-synchronization in coupled salt-water oscillators

Abstract The coupling of nonlinear oscillators was studied experimentally and theoretically. In the experiment, the electrochemical potentials in the salt water in cups dipped in a larger vessel filled with pure water were measured, where both the liquids were made to contact through a small orifice on the bottom of the individual cup. The mode of oscillations was found to depend on the surface area of the pure water. Another experiment was made to observe a coupling between the flows through separate orifices on the bottom of a single cup. The mode of flows depended on the difference in height between the two orifices. These experimental findings are predicted in a semi-quantitative manner by numerical simulations by the use of coupled ordinary differential equations.

[1]  Mori,et al.  Coupling among three chemical oscillators: Synchronization, phase death, and frustration. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  R. M. Noyes,et al.  Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction , 1974 .

[3]  Nobuaki Nishiyama,et al.  Experimental study on three chemical oscillators coupled with time delay , 1994 .

[4]  Yoko Yamaguchi,et al.  Entrainment among coupled limit cycle oscillators with frustration , 1988 .

[5]  N. Oyama,et al.  Use of a saline oscillator as a simple nonlinear dynamical system: Rhythms, bifurcation, and entrainment , 1991 .

[6]  L. Adamčíková Chemical oscillatory reaction in a hydrodynamic oscillator , 1992 .

[7]  E. M. Lifshitz,et al.  Course in Theoretical Physics , 2013 .

[8]  Yoshiki Kuramoto,et al.  Cooperative Dynamics of Oscillator Community : A Study Based on Lattice of Rings , 1984 .

[9]  Yasuji Sawada,et al.  Experimental studies on the weak coupling of oscillatory chemical reaction systems , 1980 .

[10]  M. Marek,et al.  Synchronization in two interacting oscillatory systems. , 1975, Biophysical chemistry.

[11]  A tri-phasic mode is stable when three non-linear oscillators interact with each other☆ , 1990 .

[12]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[13]  A. Winfree The geometry of biological time , 1991 .

[14]  K. Yoshikawa,et al.  New strategy of informational processing: utilization of nonlinear dynamics to chemical sensing , 1992 .

[15]  Thomas Erneux,et al.  Propagation failure in arrays of coupled bistable chemical reactors , 1992 .

[16]  Michael F. Crowley,et al.  Experimental and theoretical studies of a coupled chemical oscillator: phase death, multistability, and in-phase and out-of-phase entrainment , 1989 .

[17]  R. M. Noyes,et al.  Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system , 1972 .