FREQUENCY CATASTROPHE AND CO-EXISTING ATTRACTORS IN A CELL Ca2+ NONLINEAR OSCILLATION MODEL WITH TIME DELAY
Ying Yang-jun (应阳君)ab, Huang Zu-qia (黄祖洽)a
a Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875, China; b Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Abstract Frequency catastrophe is found in a cell Ca2+ nonlinear oscillation model with time delay. The relation of the frequency transition to the time delay is studied by numerical simulations and theoretical analysis. There is a range of parameters in which two kinds of attractors with great frequency differences co-exist in the system. Along with parameter changes, a critical phenomenon occurs and the oscillation frequency changes greatly. This mechanism helps us to deepen the understanding of the complex dynamics of delay systems, and might be of some meaning in cell signalling.
Received: 16 February 2001
Revised: 10 May 2001
Accepted manuscript online:
Fund: Project supported in part by the Doctoral Program Foundation of Institutions of Higher Education of China (Grant No. 98002713).
Cite this article:
Ying Yang-jun (应阳君), Huang Zu-qia (黄祖洽) FREQUENCY CATASTROPHE AND CO-EXISTING ATTRACTORS IN A CELL Ca2+ NONLINEAR OSCILLATION MODEL WITH TIME DELAY 2001 Chinese Physics 10 907
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