论文信息 - Experimental observation of dynamical behaviors of four, five and six oscillators in rings and nine oscillators in a branched network

Experimental observation of dynamical behaviors of four, five and six oscillators in rings and nine oscillators in a branched network

Abstract Cation-exchange beads loaded with ferroin were immersed in the Belousov-Zabotinsky reaction mixture and used as chemical oscillators. Four, five and six chemical oscillators were spatially distributed in rings. Coupling among the oscillators was due to mass diffusion. Spontaneous switching between two out-of-phase modes was observed in the ring oscillator systems. In the case of ring with three or four oscillators, transient extinction of oscillations was also observed. In addition, dynamical behaviors of a branched network with nine oscillators were reported.

Nobuaki Nishiyama

[1] C. Gray,et al. Visually evoked oscillations of membrane potential in cells of cat visual cortex. , 1992, Science.

[2] K. Bar-Eli,et al. On the stability of coupled chemical oscillators , 1985 .

[3] M. Dolnik,et al. Periodic and aperiodic regimes in coupled reaction cells with pulse forcing , 1987 .

[4] Michael F. Crowley,et al. Electrically coupled Belousov-Zhabotinskii oscillators. 1. Experiments and simulations , 1986 .

[5] G. Ermentrout,et al. Amplitude response of coupled oscillators , 1990 .

[6] 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.

[7] Stable stationary states of coupled chemical oscillators. Experimental evidence , 1985 .

[8] 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 .

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

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

[11] Kenneth Showalter,et al. Chemical waves on spherical surfaces , 1989, Nature.