Advanced Control Systems Laboratory, School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran, Iran.
Chaos. 2013 Sep;23(3):033122. doi: 10.1063/1.4817393.
Synchronization and emergence of a collective mode is a general phenomenon, frequently observed in ensembles of coupled self-sustained oscillators of various natures. In several circumstances, in particular in cases of neurological pathologies, this state of the active medium is undesirable. Destruction of this state by a specially designed stimulation is a challenge of high clinical relevance. Typically, the precise effect of an external action on the ensemble is unknown, since the microscopic description of the oscillators and their interactions are not available. We show that, desynchronization in case of a large degree of uncertainty about important features of the system is nevertheless possible; it can be achieved by virtue of a feedback loop with an additional adaptation of parameters. The adaptation also ensures desynchronization of ensembles with non-stationary, time-varying parameters. We perform the stability analysis of the feedback-controlled system and demonstrate efficient destruction of synchrony for several models, including those of spiking and bursting neurons.
同步和集体模式的出现是一种普遍现象，经常在各种性质的耦合自维持振荡器的集合中观察到。在某些情况下，特别是在神经病理学的情况下，这种主动介质的状态是不理想的。通过专门设计的刺激破坏这种状态是一个具有高度临床相关性的挑战。通常，由于振荡器及其相互作用的微观描述不可用，因此外部作用对整体的精确影响是未知的。我们表明，在对系统的重要特征存在很大程度的不确定性的情况下，仍然有可能出现去同步；这可以通过具有附加参数自适应的反馈回路来实现。自适应还确保了具有非平稳、时变参数的集合的去同步。我们对反馈控制系统进行了稳定性分析，并为包括尖峰和爆发神经元在内的几个模型演示了有效的同步破坏。
