Stochastic Resonance in Coupled, Nonlinear Oscillators

耦合非线性振荡器中的随机谐振

• 批准号: 0826173
• 负责人: Balakumar Balachandran
• 金额: $ 21万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-07-15 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0826173&HistoricalAwards=false
• 关键词: Stochastic; Resonance; Coupled; Nonlinear; Oscillators

Over the last two decades, stochastic resonance, a nonlinear phenomenon in which the addition of noise to a stochastic system leads to a coherently amplified response, has been explored to explain the dynamics of systems ranging from the Earth?s climate to sensory neurons in a monkey?s ear. Although considerable work has been carried out in the context of physical and biological systems, the use of noise for the benefit of nonlinear mechanical and structural systems, in particular, their transduction properties, has not been widely explored. This is to be addressed here by developing a fundamental understanding of the phenomenon of stochastic resonance in coupled, nonlinear mechanical and structural systems, and use this understanding to develop novel mechanical and structural design methodologies that incorporate the advantages of stochastic resonance for enhancement of the mechanical transduction capabilities and signal detection capabilities of these systems. It is expected that this understanding will help use noise in a constructive manner in the design of nonlinear systems. From a fundamental standpoint, as stochastic resonance is relevant to physical systems (periodic recurrences of ice ages, ring lasers, Schmitt triggers, optical devices, magnetic systems), chemical systems, and biological systems (sensory neurons), the findings of this study are expected to be important for a wide range of nonlinear systems including many outside mechanical and structural systems. For example, certain aspects of the study will carry implications for frontier research areas such as quantum metrology and quantum computation. From an application standpoint, the extension of the advantages of stochastic resonance in resonator arrays to the micro-scale and nano-scale can produce commercial benefits in the areas of sensing technologies and nanodevices. Finally, the application of stochastic resonance in nano-scale science to specific problems in a systematic manner is expected to be important for the education of future generations of students.

在过去的二十年里，随机共振，一种非线性现象，其中增加了噪声的随机系统导致相干放大的响应，已被探索，以解释系统的动态范围从地球？气候对猴子感觉神经元的影响？的耳朵。 虽然在物理和生物系统的背景下已经进行了大量的工作，使用噪声的非线性机械和结构系统的好处，特别是，他们的转导性能，还没有得到广泛的探讨。 这是要解决的问题，在这里，通过发展一个基本的理解，在耦合，非线性机械和结构系统的随机共振现象，并使用这种理解，开发新的机械和结构设计方法，将随机共振的优点，增强这些系统的机械转导能力和信号检测能力。预计这种理解将有助于在非线性系统的设计中以建设性的方式使用噪声。从基本的观点来看，由于随机共振与物理系统（冰河期的周期性重现、环形激光器、施密特触发器、光学装置、磁系统）、化学系统、生物系统（感觉神经元）相关，因此，本研究的结果对于包括许多外部机械系统和结构系统在内的广泛的非线性系统都具有重要意义。例如，这项研究的某些方面将对量子计量学和量子计算等前沿研究领域产生影响。 从应用角度来看，将谐振器阵列中随机谐振的优势扩展到微米尺度和纳米尺度，可以在传感技术和纳米器件领域产生商业效益。 最后，随机共振在纳米科学中的应用，以系统的方式具体的问题，预计将是重要的教育后代的学生。