FREQUENCY CATASTROPHE AND CO-EXISTING ATTRACTORS IN A CELL Ca2+ NONLINEAR OSCILLATION MODEL WITH TIME DELAY |
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| Authors: | Ying Yang-jun and Huang Zu-qia |
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| Institution: | Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875, China; Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875, China; Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| 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. |
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| Keywords: | nonlinear dynamical system delay differential equation cell Ca2+ cellular signalling |
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