Enjieu Kadji H G, Yamapi R, Chabi Orou J B
Laboratory of Modelling and Simulation in Engineering and Biological Physics, Faculty of Science, University of Yaounde I, Box 812, Yaounde, Cameroon.
Chaos. 2007 Sep;17(3):033113. doi: 10.1063/1.2759437.
We analyze the stability and optimization of the synchronization process between two coupled self-excited systems modeled by the multi-limit cycles van der Pol oscillators through the case of an enzymatic substrate reaction with ferroelectric behavior in brain waves model. The one-way and two-way couplings synchronization are considered. The stability boundaries and expressions of the synchronization time are obtained using the properties of the Hill equation. Numerical simulations validate and complement the results of analytical investigations.
我们通过脑电波模型中具有铁电行为的酶促底物反应的情况，分析了由多极限环范德波尔振荡器建模的两个耦合自激系统之间同步过程的稳定性和优化。考虑了单向和双向耦合同步。利用希尔方程的性质得到了同步时间的稳定边界和表达式。数值模拟验证并补充了分析研究的结果。
