FREQUENCY CATASTROPHE AND CO-EXISTING ATTRACTORS IN A CELL Ca2+ NONLINEAR OSCILLATION MODEL WITH TIME DELAY*

• 来源期刊: 中国物理(英文版)
• 学科: 物理学
• 关键词: nonlinear dynamical system delay differential equation cell Ca2+ cellular signalling
• 年，卷（期）: 2001,（10）
• 页码范围: 907-913
• 页数: 7页
• 分类号: O4
• 语种: 英文

摘要

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.