Phase‐difference locking of coupled oscillating chemical systems

作者: Hidehiko Fujii , Yasuji Sawada

DOI: 10.1063/1.437048

关键词: Critical valuePhysicsPhase differenceQuantum mechanicsSimple (abstract algebra)Limit cycleCoupling constant

摘要: It was experimentally verified that the phase difference of two Belousov–Zhabotinskii chemical systems is locked when Δω/M smaller than a critical value, where Δω natural limit cycle frequencies and M coupling constant systems. Above behave almost independently. A simple model presented to explain observed phenomena.

参考文章(13)
Ilya Prigogine, G. Nicolis, Self-Organization in nonequilibrium systems John Wiley & Sons. ,(1977)
A. T. Winfree, Spiral Waves of Chemical Activity Science. ,vol. 175, pp. 634- 636 ,(1972) , 10.1126/SCIENCE.175.4022.634
N. Kopell, L. N. Howard, Horizontal Bands in the Belousov Reaction Science. ,vol. 180, pp. 1171- 1173 ,(1973) , 10.1126/SCIENCE.180.4091.1171
A. N. ZAIKIN, A. M. ZHABOTINSKY, Concentration wave propagation in two-dimensional liquid-phase self-oscillating system. Nature. ,vol. 225, pp. 535- 537 ,(1970) , 10.1038/225535B0
Milos Marek, Ivan Stuchl, Synchronization in two interacting oscillatory systems. Biophysical Chemistry. ,vol. 3, pp. 241- 248 ,(1975) , 10.1016/0301-4622(75)80016-0
Zoltan Noszticzius, Periodic carbon monoxide evolution in an oscillating reaction The Journal of Physical Chemistry. ,vol. 81, pp. 185- 186 ,(1977) , 10.1021/J100517A019
Arthur T. Winfree, Rotating Chemical Reactions Scientific American. ,vol. 230, pp. 82- 95 ,(1974) , 10.1038/SCIENTIFICAMERICAN0674-82
Peter Ortoleva, John Ross, Phase waves in oscillatory chemical reactions The Journal of Chemical Physics. ,vol. 58, pp. 5673- 5680 ,(1973) , 10.1063/1.1679191
Y. Kuramoto, T. Yamada, Pattern Formation in Oscillatory Chemical Reactions Progress of Theoretical Physics. ,vol. 56, pp. 724- 740 ,(1976) , 10.1143/PTP.56.724