CAREER: Dynamics of Individual and Coupled Oscillators

建议书编号CMS-0547606(PI：Jeffrey M.Moehlis，加州大学圣巴巴拉分校)标题：职业：个体和耦合振荡器的动力学摘要有许多自然和技术系统在机械、电气和/或化学性质上经历振荡，从简单的钟摆到心脏的起搏细胞和闪烁的萤火虫。当这样的振荡器相互作用时，它们的动力学可以进行调整，以实现同步行为。这种同步可能是有益的：例如，作用于公共负载的电力发电机在适当的条件下进行同步，这对发电网络的正常运行是至关重要的。同步也可能是有害的：例如，帕金森氏症引起的震颤是由病理性的同步大脑活动引起的。该项目致力于了解、使用和控制单个振荡器和耦合振荡器与外部信号以及彼此之间的同步。这项工作将增进对细胞昼夜节律振荡器的夹带和相互作用的理解，并将为使用被称为脑深部刺激的治疗技术治疗帕金森氏病等神经疾病提供理论基础。这项工作还将加强新的机械过滤和传感能力的理论基础，这种能力利用了微电子机械振荡器之间的耦合。除研究活动外，该项目还包括开发一个关于振荡器和同步的免费互动网站。

Proposal No. CMS-0547606 (PI: Jeffrey M. Moehlis, University of California-Santa Barbara )Title: CAREER: Dynamics of Individual and Coupled Oscillators AbstractThere are many natural and technological systems that undergo oscillations in mechanical, electrical, and/or chemical properties, ranging from simple pendula to pacemaker cells in the heart and blinking fireflies. When such oscillators interact, their dynamics can adjust to give synchronized behavior. Such synchronization can be beneficial: for example, generators of electrical power acting on a common load synchronize under appropriate conditions, a crucial effect for the normal functioning of power-generation networks. Synchronization can also be detrimental: for example, tremors arising from Parkinson's disease are due to pathological, synchronized brain activity. This project aspires to understand, use, and control the synchronization of individual and coupled oscillators to external signals and to each other. This work will enhance the understanding of entrainment and interactions of cellular circadian oscillators, and will provide a theoretical basis for the treatment of neurological disorders such as Parkinson's disease using the therapeutic technique known as deepbrain stimulation. This work will also enhance the theoretical basis for new mechanical filtering and sensing capabilities, which exploit coupling between microelectromechanical oscillators. In addition to research activities, this project includes the development of a freely available, interactive website on oscillators and synchronization.