Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Malaysia.
Chaos. 2013 Mar;23(1):013118. doi: 10.1063/1.4791589.
We study generalized variable projective synchronization between two unified time delayed systems with constant and modulated time delays. A novel Krasovskii-Lyapunov functional is constructed and a generalized sufficient condition for synchronization is derived analytically using the Lyapunov stability theory and adaptive techniques. The proposed scheme is valid for a system of n-numbers of first order delay differential equations. Finally, a new neural oscillator is considered as a numerical example to show the effectiveness of the proposed scheme.
我们研究了两个具有常数和调制时滞的统一时滞系统之间的广义变量投影同步。构造了一个新的 Krasovskii-Lyapunov 泛函，并利用 Lyapunov 稳定性理论和自适应技术分析推导出了同步的广义充分条件。所提出的方案适用于 n 个一阶时滞微分方程系统。最后，考虑了一个新的神经振荡器作为数值实例，以显示所提出方案的有效性。
